TSTP Solution File: LCL834-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL834-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sun Jul 17 07:58:36 EDT 2022
% Result : Unsatisfiable 47.63s 48.05s
% Output : Refutation 47.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : LCL834-1 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.11 % Command : bliksem %s
% 0.11/0.32 % Computer : n014.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % DateTime : Mon Jul 4 03:03:24 EDT 2022
% 0.17/0.33 % CPUTime :
% 0.86/1.22 *** allocated 10000 integers for termspace/termends
% 0.86/1.22 *** allocated 10000 integers for clauses
% 0.86/1.22 *** allocated 10000 integers for justifications
% 0.86/1.22 Bliksem 1.12
% 0.86/1.22
% 0.86/1.22
% 0.86/1.22 Automatic Strategy Selection
% 0.86/1.22
% 0.86/1.22 Clauses:
% 0.86/1.22 [
% 0.86/1.22 [ ~( =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP(
% 0.86/1.22 'c_Lambda_OdB_OApp', X ), Y ), Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) )
% 0.86/1.22 , =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.86/1.22 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 0.86/1.22 'c_List_Oappend'( Z, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'(
% 0.86/1.22 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB'
% 0.86/1.22 , 'tc_Lambda_OdB' ) ) ],
% 0.86/1.22 [ =( hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_List_Ofoldl'(
% 0.86/1.22 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ),
% 0.86/1.22 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, 'c_List_Oappend'( Y,
% 0.86/1.22 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.86/1.22 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' )
% 0.86/1.22 ) ],
% 0.86/1.22 [ =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'(
% 0.86/1.22 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ),
% 0.86/1.22 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ), =( hAPP( hAPP(
% 0.86/1.22 'c_Lambda_OdB_OApp', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, X,
% 0.86/1.22 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Y ), 'c_List_Ofoldl'(
% 0.86/1.22 'c_Lambda_OdB_OApp', Z, 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.86/1.22 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ),
% 0.86/1.22 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.86/1.22 [ hBOOL( hAPP( 'c_Wellfounded_Oaccp'( 'c_ListOrder_Ostep1'( X, Y ),
% 0.86/1.22 'tc_List_Olist'( Y ) ), Z ) ), ~( 'c_List_Olistsp'( 'c_Wellfounded_Oaccp'(
% 0.86/1.22 X, Y ), Z, Y ) ) ],
% 0.86/1.22 [ =( 'c_List_Orev'( 'c_List_Oreplicate'( X, Y, Z ), Z ),
% 0.86/1.22 'c_List_Oreplicate'( X, Y, Z ) ) ],
% 0.86/1.22 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.86/1.22 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ), ~(
% 0.86/1.22 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'(
% 0.86/1.22 X, T, 'tc_nat' ) ],
% 0.86/1.22 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.22 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 0.86/1.22 'tc_nat' ) ) ],
% 0.86/1.22 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.22 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.86/1.22 'tc_nat' ) ) ],
% 0.86/1.22 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.86/1.22 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.22 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ) ],
% 0.86/1.22 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.22 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 0.86/1.22 'tc_nat' ) ) ],
% 0.86/1.22 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.22 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.86/1.22 'tc_nat' ) ) ],
% 0.86/1.22 [ =( 'c_List_Omap'( X, 'c_List_Oreplicate'( Y, Z, T ), T, U ),
% 0.86/1.22 'c_List_Oreplicate'( Y, hAPP( X, Z ), U ) ) ],
% 0.86/1.22 [ =( 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ), X ) ],
% 0.86/1.22 [ =( 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ), X ) ],
% 0.86/1.22 [ =( X, 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ) ) ],
% 0.86/1.22 [ ~( =( 'c_List_Orotate1'( X, Y ), 'c_List_Olist_ONil'( Y ) ) ), =( X,
% 0.86/1.22 'c_List_Olist_ONil'( Y ) ) ],
% 0.86/1.22 [ =( 'c_List_Otake'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 0.86/1.22 'c_List_Olist_ONil'( Y ) ) ],
% 0.86/1.22 [ ~( =( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Oreplicate'( T, U, Z ) )
% 0.86/1.22 ), =( X, T ) ],
% 0.86/1.22 [ 'c_List_Olistsp'( X, 'c_List_Olist_ONil'( Y ), Y ) ],
% 0.86/1.22 [ =( 'c_List_Orev'( 'c_List_Omap'( X, Y, Z, T ), T ), 'c_List_Omap'( X,
% 0.86/1.22 'c_List_Orev'( Y, Z ), Z, T ) ) ],
% 0.86/1.22 [ 'c_List_Olistsp'( X, Y, Z ), ~( 'c_List_Olistsp'( X, 'c_List_Oappend'(
% 0.86/1.22 T, Y, Z ), Z ) ) ],
% 0.86/1.22 [ 'c_List_Olistsp'( X, Y, Z ), ~( 'c_List_Olistsp'( X, 'c_List_Oappend'(
% 0.86/1.22 Y, T, Z ), Z ) ) ],
% 0.86/1.22 [ =( 'c_List_Orotate1'( 'c_List_Olist_ONil'( X ), X ),
% 0.86/1.22 'c_List_Olist_ONil'( X ) ) ],
% 0.86/1.22 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_ua______' ) ) ],
% 0.86/1.22 [ =( 'c_List_Otake'( X, 'c_List_Omap'( Y, Z, T, U ), U ), 'c_List_Omap'(
% 0.86/1.22 Y, 'c_List_Otake'( X, Z, T ), T, U ) ) ],
% 0.86/1.22 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.86/1.22 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.86/1.22 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.86/1.22 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.86/1.22 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.86/1.22 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.86/1.22 [ =( 'c_List_Olast'( 'c_List_Oreplicate'( X, Y, Z ), Z ), Y ), =( X,
% 0.86/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.86/1.22 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_u____' ) ) ],
% 0.86/1.22 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_ONil'( Y ) ) ), =( X,
% 0.86/1.22 'c_List_Olist_ONil'( Y ) ) ],
% 0.86/1.22 [ =( 'c_List_Orev'( 'c_List_Olist_ONil'( X ), X ), 'c_List_Olist_ONil'(
% 0.86/1.22 X ) ) ],
% 0.86/1.22 [ =( 'c_List_Orev'( 'c_List_Oappend'( X, Y, Z ), Z ), 'c_List_Oappend'(
% 0.86/1.22 'c_List_Orev'( Y, Z ), 'c_List_Orev'( X, Z ), Z ) ) ],
% 0.86/1.22 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.86/1.22 'c_Nat_Osemiring__1__class_Oof__nat__aux'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.22 'tc_nat' ), Z, X ), Z ) ],
% 0.86/1.22 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.86/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.86/1.22 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.86/1.22 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.86/1.22 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.86/1.22 ), 'tc_nat' ) ) ],
% 0.86/1.22 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.86/1.22 ), 'tc_nat' ) ) ],
% 0.86/1.22 [ =( 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y )
% 0.86/1.22 , 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, Y ) ) ]
% 0.86/1.22 ,
% 0.86/1.22 [ ~( =( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Oreplicate'( T, U, Z ) )
% 0.86/1.22 ), =( Y, U ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.86/1.22 [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.86/1.22 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'( Z, X,
% 0.86/1.22 'tc_nat' ) ],
% 0.86/1.22 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.86/1.22 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 0.86/1.22 'c_HOL_Oone__class_Oone'( X ) ), X ) ],
% 0.86/1.22 [ =( 'c_List_Otake'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.86/1.22 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_List_Olist_ONil'( Z ) ) ],
% 0.86/1.22 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.86/1.22 'c_Lambda_OdB_OApp', Z, T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( T,
% 0.86/1.22 'c_List_Oappend'(
% 0.86/1.22 'c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1'( X
% 0.86/1.22 , Y, Z, T ), 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'(
% 0.86/1.22 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ), =( T,
% 0.86/1.22 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ],
% 0.86/1.22 [ 'c_List_Olistsp'( 'c_Wellfounded_Oaccp'( X, Y ), Z, Y ), ~( hBOOL(
% 0.86/1.22 hAPP( 'c_Wellfounded_Oaccp'( 'c_ListOrder_Ostep1'( X, Y ),
% 0.86/1.22 'tc_List_Olist'( Y ) ), Z ) ) ) ],
% 0.86/1.22 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.86/1.22 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.86/1.22 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.86/1.22 , X ) ) ],
% 0.86/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.86/1.22 , Y, X ) ) ],
% 0.86/1.22 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.86/1.22 , Y, X ) ) ],
% 0.86/1.22 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.22 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.86/1.22 ), =( Z, Y ) ],
% 0.86/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.86/1.22 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.86/1.22 ) ],
% 0.86/1.22 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.86/1.22 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.86/1.22 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_HOL_Oord__class_Oless'( Y, Z,
% 0.86/1.22 'tc_nat' ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ],
% 0.86/1.22 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.86/1.22 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.86/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.86/1.22 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.86/1.22 [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ),
% 0.86/1.22 'c_List_Oreplicate'( T, Y, Z ), Z ), 'c_List_Oappend'(
% 0.86/1.22 'c_List_Oreplicate'( T, Y, Z ), 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ]
% 0.86/1.22 ,
% 0.86/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.86/1.22 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.86/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.86/1.22 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.86/1.22 ) ],
% 0.86/1.22 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.86/1.22 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.86/1.22 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 0.86/1.22 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.86/1.22 T, X ) ) ],
% 0.86/1.22 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.22 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.86/1.22 , Z ), T ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, T, 'tc_nat' ) )
% 0.86/1.22 , ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.86/1.22 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.22 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.86/1.22 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~(
% 0.86/1.22 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.86/1.22 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.22 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.22 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.86/1.22 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.86/1.22 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Orev'( Z, Y ) ) ), =( X, Z ) ]
% 0.86/1.22 ,
% 0.86/1.22 [ 'c_List_Olistsp'( X, 'c_List_Oappend'( Y, Z, T ), T ), ~(
% 0.86/1.22 'c_List_Olistsp'( X, Z, T ) ), ~( 'c_List_Olistsp'( X, Y, T ) ) ],
% 0.86/1.22 [ =( hAPP( 'c_Type_Oshift'( X, Y, Z, T ), U ), hAPP( X, U ) ), ~(
% 0.86/1.22 'c_HOL_Oord__class_Oless'( U, Y, 'tc_nat' ) ) ],
% 0.86/1.22 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Orev'( Y, X ) ) ), =( Y,
% 0.86/1.22 'c_List_Olist_ONil'( X ) ) ],
% 0.86/1.22 [ 'c_HOL_Oord__class_Oless'(
% 0.86/1.22 'c_ATP__Linkup_Osko__Nat__Xex__least__nat__less__1__1'( X, Y ), Y,
% 0.86/1.22 'tc_nat' ), ~( hBOOL( hAPP( X, Y ) ) ), hBOOL( hAPP( X,
% 0.86/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.86/1.22 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.22 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.86/1.22 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.86/1.22 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ), ~(
% 0.86/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.86/1.22 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.22 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.22 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 0.86/1.22 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.86/1.22 X ), T, X ) ) ],
% 0.86/1.22 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.22 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.86/1.22 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.86/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), ~(
% 0.86/1.22 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ) ],
% 0.86/1.22 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.22 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.22 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 0.86/1.22 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.86/1.22 X ), T, X ) ) ],
% 0.86/1.22 [ ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.22 'tc_nat' ), X ), Y ), X, 'tc_nat' ) ) ],
% 0.86/1.22 [ ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.22 'tc_nat' ), X ), Y ), Y, 'tc_nat' ) ) ],
% 0.86/1.22 [ ~( =( 'c_Type_Otype_OFun'( X, Y ), 'c_Type_Otype_OFun'( Z, T ) ) ),
% 0.86/1.22 =( Y, T ) ],
% 0.86/1.22 [ ~( =( 'c_Type_Otype_OFun'( X, Y ), 'c_Type_Otype_OFun'( Z, T ) ) ),
% 0.86/1.22 =( X, Z ) ],
% 0.86/1.22 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.86/1.22 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.86/1.22 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 0.86/1.22 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.86/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.22 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.86/1.22 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ),
% 0.86/1.22 ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.86/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.22 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.22 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 0.86/1.22 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 0.86/1.22 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.86/1.22 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.86/1.22 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 0.86/1.22 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.86/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.22 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.86/1.22 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ),
% 0.86/1.22 ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.86/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.22 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.22 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 0.86/1.22 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 0.86/1.22 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.22 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.86/1.22 , Z ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) )
% 0.86/1.22 ],
% 0.86/1.22 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.86/1.22 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.22 'tc_nat' ), Z ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.86/1.22 , Z ), Y ), 'tc_nat' ) ) ],
% 0.86/1.22 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.22 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.86/1.22 , X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) )
% 0.86/1.22 ],
% 0.86/1.22 [ =( 'c_List_Obutlast'( 'c_List_Olist_ONil'( X ), X ),
% 0.86/1.22 'c_List_Olist_ONil'( X ) ) ],
% 0.86/1.22 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Orev'( 'c_List_Olist_ONil'( X ),
% 0.86/1.22 X ) ) ],
% 0.86/1.22 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.86/1.22 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.86/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.86/1.22 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.86/1.22 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.86/1.22 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.86/1.22 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.86/1.22 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.86/1.22 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.22 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ), ~(
% 0.86/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.86/1.22 'tc_nat' ) ) ],
% 0.86/1.22 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.86/1.22 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.22 , 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ],
% 0.86/1.22 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.22 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.86/1.22 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.86/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.86/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.86/1.22 'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ) ],
% 0.86/1.22 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.86/1.22 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.86/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.86/1.22 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.86/1.22 , Y, X ) ) ],
% 0.86/1.22 [ =( 'c_List_Oappend'( 'c_List_Obutlast'( X, Y ), 'c_List_Olist_OCons'(
% 0.86/1.22 'c_List_Olast'( X, Y ), 'c_List_Olist_ONil'( Y ), Y ), Y ), X ), =( X,
% 0.86/1.22 'c_List_Olist_ONil'( Y ) ) ],
% 0.86/1.22 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.86/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.86/1.22 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~(
% 0.86/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.86/1.22 ,
% 0.86/1.22 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.86/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.86/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.86/1.22 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 0.86/1.22 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.86/1.22 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.86/1.22 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.86/1.22 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.86/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.86/1.22 ,
% 0.86/1.22 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.86/1.22 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.86/1.22 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.86/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.86/1.22 ,
% 0.86/1.22 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.86/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.86/1.22 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.86/1.22 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.22 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.86/1.22 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.86/1.22 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.22 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.22 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.86/1.22 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.86/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.86/1.22 ,
% 0.86/1.22 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.86/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.86/1.22 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~(
% 0.86/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.86/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.86/1.22 ,
% 0.86/1.22 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.22 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.86/1.22 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.86/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.86/1.22 ,
% 0.86/1.22 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.86/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.86/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.22 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.22 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 0.86/1.22 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.22 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.86/1.22 , Y ), 'c_HOL_Oone__class_Oone'( X ) ), X ) ],
% 0.86/1.22 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.86/1.22 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.86/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.22 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.22 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.86/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.86/1.22 ,
% 0.86/1.22 [ =( 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y )
% 0.86/1.22 , 'c_List_Olist_ONil'( Y ) ) ],
% 0.86/1.22 [ ~( =( 'c_List_Otake'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( Y,
% 0.86/1.22 'c_List_Olist_ONil'( Z ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.86/1.22 ) ],
% 0.86/1.22 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Oreplicate'(
% 0.86/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, X ) ) ],
% 0.86/1.22 [ =( 'c_List_Otake'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y ),
% 0.86/1.22 'c_List_Olist_ONil'( Y ) ) ],
% 0.86/1.22 [ ~( =( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ),
% 0.86/1.22 =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.86/1.22 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oreplicate'( Y, Z, X ) ) ),
% 0.86/1.22 =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.86/1.22 [ =( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 0.86/1.22 'c_List_Orev'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y ), Y
% 0.86/1.22 ) ) ],
% 0.86/1.22 [ =( 'c_List_Olast'( 'c_List_Olist_OCons'( X, Y, Z ), Z ),
% 0.86/1.22 'c_List_Olast'( Y, Z ) ), =( Y, 'c_List_Olist_ONil'( Z ) ) ],
% 0.86/1.22 [ =( 'c_List_Orev'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y
% 0.86/1.22 ), Y ), 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 0.86/1.22 [ ~( =( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 0.86/1.22 'c_List_Orev'( Z, Y ) ) ), =( Z, 'c_List_Olist_OCons'( X,
% 0.86/1.22 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 0.86/1.22 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z,
% 0.86/1.22 'c_List_Olist_ONil'( Y ), Y ) ) ), =( X, 'c_List_Olist_OCons'( Z,
% 0.86/1.22 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 0.86/1.22 [ =( 'c_List_Obutlast'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y
% 0.86/1.22 ), Y ), Y ), 'c_List_Olist_ONil'( Y ) ) ],
% 0.86/1.22 [ =( 'c_List_Olast'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ),
% 0.86/1.22 Y ), Y ), X ) ],
% 0.86/1.22 [ =( 'c_List_Obutlast'( 'c_List_Olist_OCons'( X, Y, Z ), Z ),
% 0.86/1.22 'c_List_Olist_OCons'( X, 'c_List_Obutlast'( Y, Z ), Z ) ), =( Y,
% 0.86/1.22 'c_List_Olist_ONil'( Z ) ) ],
% 0.86/1.22 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.86/1.22 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' )
% 0.86/1.22 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X
% 0.86/1.22 , 'tc_nat' ) ) ],
% 0.86/1.22 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.86/1.22 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' )
% 0.86/1.22 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y
% 0.86/1.22 , 'tc_nat' ) ) ],
% 0.86/1.22 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.86/1.22 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.22 'tc_nat' ), Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP(
% 0.86/1.22 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 0.86/1.22 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z ) ) )
% 0.86/1.22 , =( 'c_List_Oappend'( 'c_List_Osko__List__Xappend__eq__Cons__conv__1__1'(
% 0.86/1.22 T, U, X, Y, Z ), Y, Z ), U ), =( Y, 'c_List_Olist_OCons'( T, U, Z ) ) ]
% 0.86/1.22 ,
% 0.86/1.22 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'( T, U, Z ) ) )
% 0.86/1.22 , =( 'c_List_Olist_OCons'( X,
% 0.86/1.22 'c_List_Osko__List__XCons__eq__append__conv__1__1'( X, Y, T, U, Z ), Z )
% 0.86/1.22 , T ), =( 'c_List_Olist_OCons'( X, Y, Z ), U ) ],
% 0.86/1.22 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z ) ) )
% 0.86/1.22 , =( X, 'c_List_Olist_OCons'( T,
% 0.86/1.22 'c_List_Osko__List__Xappend__eq__Cons__conv__1__1'( T, U, X, Y, Z ), Z )
% 0.86/1.22 ), =( Y, 'c_List_Olist_OCons'( T, U, Z ) ) ],
% 0.86/1.22 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'( T, U, Z ) ) )
% 0.86/1.22 , =( Y, 'c_List_Oappend'(
% 0.86/1.22 'c_List_Osko__List__XCons__eq__append__conv__1__1'( X, Y, T, U, Z ), U, Z
% 0.86/1.22 ) ), =( 'c_List_Olist_OCons'( X, Y, Z ), U ) ],
% 0.86/1.22 [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ),
% 0.86/1.22 'c_List_Olist_OCons'( Y, T, Z ), Z ), 'c_List_Olist_OCons'( Y,
% 0.86/1.22 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ), T, Z ), Z ) ) ],
% 0.86/1.22 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.86/1.22 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.86/1.22 Y, T, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X
% 0.86/1.22 ), Y, X ) ), =( Z, T ) ],
% 0.86/1.22 [ =( 'c_List_Obutlast'( 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y
% 0.86/1.22 ), Y ), 'c_List_Obutlast'( X, Y ) ) ],
% 0.86/1.22 [ =( 'c_List_Olast'( 'c_List_Oappend'( X, Y, Z ), Z ), 'c_List_Olast'( Y
% 0.86/1.22 , Z ) ), =( Y, 'c_List_Olist_ONil'( Z ) ) ],
% 0.86/1.22 [ =( 'c_List_Olast'( 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y )
% 0.86/1.22 , Y ), 'c_List_Olast'( X, Y ) ) ],
% 0.86/1.22 [ =( 'c_List_Obutlast'( 'c_List_Oappend'( X, Y, Z ), Z ),
% 0.86/1.22 'c_List_Oappend'( X, 'c_List_Obutlast'( Y, Z ), Z ) ), =( Y,
% 0.86/1.22 'c_List_Olist_ONil'( Z ) ) ],
% 0.86/1.22 [ =( 'c_List_Oreplicate'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.22 'tc_nat' ), X ), Y ), Z, T ), 'c_List_Oappend'( 'c_List_Oreplicate'( X, Z
% 0.86/1.22 , T ), 'c_List_Oreplicate'( Y, Z, T ), T ) ) ],
% 0.86/1.22 [ 'c_Type_Otyping'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), Z ), T ),
% 0.86/1.22 ~( 'c_Type_Otyping'( X, Z, U ) ), ~( 'c_Type_Otyping'( X, Y,
% 0.86/1.22 'c_Type_Otype_OFun'( U, T ) ) ) ],
% 0.86/1.22 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =( hAPP( hAPP( hAPP(
% 0.86/1.22 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y ), X ), Y ) ],
% 0.86/1.22 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.86/1.22 ), Z ), 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'(
% 0.86/1.22 Z, X, 'tc_nat' ) ],
% 0.86/1.22 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.86/1.22 ), Z ), 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 0.86/1.22 'tc_nat' ) ) ],
% 0.86/1.22 [ =( hAPP( hAPP( 'c_Lambda_Olift', 'c_Lambda_OdB_OVar'( X ) ), Y ),
% 0.86/1.22 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat'
% 0.86/1.22 ) ) ],
% 0.86/1.22 [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OVar'( Y ), Z ),
% 0.86/1.22 'c_Lambda_OdB_OVar'( Y ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat'
% 0.86/1.22 ) ) ],
% 0.86/1.22 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'( T, U, Z ) ) )
% 0.86/1.22 , =( Y, 'c_List_Oappend'(
% 0.86/1.22 'c_List_Osko__List__XCons__eq__append__conv__1__1'( X, Y, T, U, Z ), U, Z
% 0.86/1.22 ) ), =( T, 'c_List_Olist_ONil'( Z ) ) ],
% 0.86/1.22 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z ) ) )
% 0.86/1.22 , =( X, 'c_List_Olist_OCons'( T,
% 0.86/1.22 'c_List_Osko__List__Xappend__eq__Cons__conv__1__1'( T, U, X, Y, Z ), Z )
% 0.86/1.22 ), =( X, 'c_List_Olist_ONil'( Z ) ) ],
% 0.86/1.22 [ =( 'c_List_Olast'( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.86/1.22 'c_List_Olist_ONil'( Z ), Z ), Z ), Z ), Y ) ],
% 0.86/1.22 [ =( 'c_List_Obutlast'( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.86/1.22 'c_List_Olist_ONil'( Z ), Z ), Z ), Z ), X ) ],
% 0.86/1.22 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z ) ) )
% 0.86/1.22 , =( 'c_List_Oappend'( 'c_List_Osko__List__Xappend__eq__Cons__conv__1__1'(
% 0.86/1.22 T, U, X, Y, Z ), Y, Z ), U ), =( X, 'c_List_Olist_ONil'( Z ) ) ],
% 0.86/1.22 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'( T, U, Z ) ) )
% 0.86/1.22 , =( 'c_List_Olist_OCons'( X,
% 0.86/1.22 'c_List_Osko__List__XCons__eq__append__conv__1__1'( X, Y, T, U, Z ), Z )
% 0.86/1.22 , T ), =( T, 'c_List_Olist_ONil'( Z ) ) ],
% 0.86/1.22 [ =( 'c_List_Orev'( 'c_List_Olist_OCons'( X, Y, Z ), Z ),
% 0.86/1.22 'c_List_Oappend'( 'c_List_Orev'( Y, Z ), 'c_List_Olist_OCons'( X,
% 0.86/1.22 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ],
% 0.86/1.22 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z, T, Y ) ) ), =( X
% 0.86/1.22 , 'c_List_Oappend'( 'c_List_Orev'( T, Y ), 'c_List_Olist_OCons'( Z,
% 0.86/1.22 'c_List_Olist_ONil'( Y ), Y ), Y ) ) ],
% 0.86/1.22 [ =( 'c_List_Orev'( 'c_List_Oappend'( 'c_List_Orev'( X, Y ),
% 0.86/1.22 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( Y ), Y ), Y ), Y ),
% 0.86/1.22 'c_List_Olist_OCons'( Z, X, Y ) ) ],
% 0.86/1.22 [ =( 'c_List_Orotate1'( 'c_List_Olist_OCons'( X, Y, Z ), Z ),
% 0.86/1.22 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Z ), Z
% 0.86/1.22 ), Z ) ) ],
% 0.86/1.22 [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ),
% 0.86/1.22 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'( Z ), Z ), Z ),
% 0.86/1.22 'c_List_Olist_OCons'( Y, 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ],
% 0.86/1.22 [ =( 'c_List_Otake'( 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.86/1.22 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_List_Olist_OCons'( X,
% 0.86/1.22 'c_List_Olist_ONil'( Z ), Z ) ) ],
% 0.86/1.22 [ hBOOL( hAPP( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.86/1.22 'c_ATP__Linkup_Osko__Nat__Xex__least__nat__less__1__1'( X, Y ) ),
% 0.86/1.22 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ), ~( hBOOL( hAPP( X, Y ) ) ),
% 0.86/1.22 hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.86/1.22 [ hBOOL( hAPP( 'c_Wellfounded_Oaccp'( 'c_ListOrder_Ostep1'( X, Y ),
% 0.86/1.22 'tc_List_Olist'( Y ) ), 'c_List_Olist_OCons'( Z, T, Y ) ) ), ~( hBOOL(
% 0.86/1.22 hAPP( 'c_Wellfounded_Oaccp'( 'c_ListOrder_Ostep1'( X, Y ),
% 0.86/1.22 'tc_List_Olist'( Y ) ), T ) ) ), ~( hBOOL( hAPP( 'c_Wellfounded_Oaccp'( X
% 0.86/1.22 , Y ), Z ) ) ) ],
% 0.86/1.22 [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OVar'( Y ), Z ),
% 0.86/1.22 'c_Lambda_OdB_OVar'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.86/1.22 Y ), X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ],
% 0.86/1.22 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.86/1.22 , 'c_Lambda_OdB_OVar'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ),
% 0.86/1.22 ~( 'c_List_Olistsp'( 'c_InductTermi_OIT', Y, 'tc_Lambda_OdB' ) ) ],
% 0.86/1.22 [ =( hAPP( hAPP( 'c_Lambda_Olift', hAPP( hAPP( hAPP( 'c_Lambda_Osubst',
% 0.86/1.22 X ), Y ), Z ) ), T ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP(
% 0.86/1.22 'c_Lambda_Olift', X ), T ) ), hAPP( hAPP( 'c_Lambda_Olift', Y ), T ) ),
% 0.86/1.22 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ),
% 0.86/1.22 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.22 T, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ),
% 0.86/1.22 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.86/1.22 [ =( hAPP( hAPP( 'c_Lambda_Olift', hAPP( hAPP( hAPP( 'c_Lambda_Osubst',
% 0.86/1.22 X ), Y ), Z ) ), T ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP(
% 0.86/1.22 'c_Lambda_Olift', X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.86/1.22 , T ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ), hAPP( hAPP(
% 0.86/1.22 'c_Lambda_Olift', Y ), T ) ), Z ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.86/1.22 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T ),
% 0.86/1.22 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.86/1.22 [ =( hAPP( hAPP( 'c_Lambda_Olift', 'c_Lambda_OdB_OVar'( X ) ), Y ),
% 0.86/1.22 'c_Lambda_OdB_OVar'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.86/1.22 X ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ),
% 0.86/1.22 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 0.86/1.22 [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OAbs'( Y ), 'c_Type_Otype_OFun'( Z
% 0.86/1.22 , T ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( X,
% 0.86/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_Type_Otype' ), Y, T ) ) ]
% 0.86/1.22 ,
% 0.86/1.22 [ 'c_Type_Otyping'( 'v_e____', 'v_u____', 'v_T____' ) ],
% 0.86/1.22 [ 'c_Type_Otyping'( 'v_ea______', 'v_ua______', 'v_T____' ) ],
% 0.86/1.22 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =( 'c_Lambda_Osubstn'(
% 0.86/1.22 'c_Lambda_OdB_OVar'( X ), Y, X ), 'c_Lambda_Oliftn'( X, Y,
% 0.86/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.86/1.22 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.86/1.22 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.86/1.22 'c_Nat_Osemiring__1__class_Oof__nat__aux'( 'c_COMBC'(
% 0.86/1.22 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ), X, X, X )
% 0.86/1.22 , Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.22 [ 'c_Type_Otypings'( 'c_Type_Oshift'( X, Y, Z, 'tc_Type_Otype' ),
% 0.86/1.22 'c_List_Omap'( 'c_COMBC'( 'c_Lambda_Olift', Y, 'tc_Lambda_OdB', 'tc_nat'
% 0.86/1.22 , 'tc_Lambda_OdB' ), T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), U ), ~(
% 0.86/1.22 'c_Type_Otypings'( X, T, U ) ) ],
% 0.86/1.22 [ ~( =( 'v_T____', 'c_Type_Otype_OFun'( X, Y ) ) ), hBOOL( hAPP(
% 0.86/1.22 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', Z ), T ), U ) )
% 0.86/1.22 ), ~( 'c_Type_Otyping'( W, T, Y ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT'
% 0.86/1.22 , T ) ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( W, U, Y, 'tc_Type_Otype'
% 0.86/1.22 ), Z, V0 ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', Z ) ) ) ],
% 0.86/1.22 [ ~( =( 'v_T____', 'c_Type_Otype_OFun'( X, Y ) ) ), hBOOL( hAPP(
% 0.86/1.22 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', Z ), T ), U ) )
% 0.86/1.22 ), ~( 'c_Type_Otyping'( W, T, X ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT'
% 0.86/1.22 , T ) ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( W, U, X, 'tc_Type_Otype'
% 0.86/1.22 ), Z, V0 ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', Z ) ) ) ],
% 0.86/1.22 [ 'c_List_Olistsp'( 'c_InductTermi_OIT', 'c_List_Omap'( 'c_COMBC'(
% 0.86/1.22 'c_Lambda_Olift', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_Lambda_OdB'
% 0.86/1.22 , 'tc_nat', 'tc_Lambda_OdB' ), X, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 0.86/1.22 'tc_Lambda_OdB' ), ~( 'c_List_Olistsp'( 'c_InductTermi_OIT', X,
% 0.86/1.22 'tc_Lambda_OdB' ) ) ],
% 0.86/1.22 [ =( X, 'c_List_Olist_OCons'(
% 0.86/1.22 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__4'( Y, X, Z ),
% 0.86/1.22 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__5'( Y, X, Z ),
% 0.86/1.22 'tc_Lambda_OdB' ) ), =( Z, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Y,
% 0.86/1.22 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2'( Y, X, Z ),
% 0.86/1.22 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), =( Z, 'c_List_Ofoldl'(
% 0.86/1.22 'c_Lambda_OdB_OApp', 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1'( Y
% 0.86/1.22 , X, Z ), X, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.22 'c_Lambda_Obeta', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Y, X,
% 0.86/1.22 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ) ) ) ],
% 0.86/1.22 [ =( X, 'c_List_Olist_OCons'(
% 0.86/1.22 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__4'( Y, X, Z ),
% 0.86/1.22 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__5'( Y, X, Z ),
% 0.86/1.22 'tc_Lambda_OdB' ) ), =( Z, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Y,
% 0.86/1.22 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2'( Y, X, Z ),
% 0.86/1.22 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), hBOOL( hAPP( hAPP( 'c_Lambda_Obeta'
% 0.86/1.22 , Y ), 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1'( Y, X, Z ) ) ),
% 0.86/1.22 ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 0.86/1.22 'c_Lambda_OdB_OApp', Y, X, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ) ) )
% 0.86/1.22 ],
% 0.86/1.22 [ 'c_Type_Otypings'( X, 'c_List_Omap'( 'c_COMBC'( 'c_COMBC'(
% 0.86/1.22 'c_Lambda_Osubst', Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB', 'tc_fun'(
% 0.86/1.22 'tc_nat', 'tc_Lambda_OdB' ) ), Z, 'tc_Lambda_OdB', 'tc_nat',
% 0.86/1.22 'tc_Lambda_OdB' ), T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), U ), ~(
% 0.86/1.22 'c_Type_Otypings'( 'c_Type_Oshift'( X, Z, W, 'tc_Type_Otype' ), T, U ) )
% 0.86/1.22 , ~( 'c_Type_Otyping'( X, Y, W ) ) ],
% 0.86/1.22 [ =( X, 'c_List_Olist_OCons'(
% 0.86/1.22 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__4'( Y, X, Z ),
% 0.86/1.22 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__5'( Y, X, Z ),
% 0.86/1.22 'tc_Lambda_OdB' ) ), hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'(
% 0.86/1.22 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X ),
% 0.86/1.22 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2'( Y, X, Z ) ) ), hBOOL(
% 0.86/1.22 hAPP( hAPP( 'c_Lambda_Obeta', Y ),
% 0.86/1.22 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1'( Y, X, Z ) ) ), ~( hBOOL(
% 0.86/1.22 hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Y, X
% 0.86/1.22 , 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ) ) ) ],
% 0.86/1.22 [ =( X, 'c_List_Olist_OCons'(
% 0.86/1.22 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__4'( Y, X, Z ),
% 0.86/1.22 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__5'( Y, X, Z ),
% 0.86/1.22 'tc_Lambda_OdB' ) ), hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'(
% 0.86/1.22 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X ),
% 0.86/1.22 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2'( Y, X, Z ) ) ), =( Z,
% 0.86/1.22 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.86/1.22 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1'( Y, X, Z ), X,
% 0.86/1.22 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.22 'c_Lambda_Obeta', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Y, X,
% 0.86/1.22 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ) ) ) ],
% 0.86/1.22 [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), Y ) ) ]
% 0.86/1.22 ,
% 0.86/1.22 [ =( 'c_List_Omap'( X, 'c_List_Olist_ONil'( Y ), Y, Z ),
% 0.86/1.22 'c_List_Olist_ONil'( Z ) ) ],
% 0.86/1.22 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.86/1.22 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Oone__class_Oone'( 'tc_nat'
% 0.86/1.22 ), X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.86/1.22 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.86/1.22 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.86/1.22 'c_Predicate_Oconversep'( X, Y, Y ), Y ), T ), Z ) ) ) ],
% 0.86/1.22 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.86/1.22 'c_Predicate_Oconversep'( X, Y, Y ), Y ), Z ), T ) ), ~( hBOOL( hAPP(
% 0.86/1.22 hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), T ), Z ) ) ) ],
% 0.86/1.22 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP(
% 0.86/1.22 'c_ListOrder_Ostep1'( X, T ), U ), W ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.22 'c_ListOrder_Ostep1'( X, T ), 'c_List_Oappend'( U, 'c_List_Olist_OCons'(
% 0.86/1.22 Y, 'c_List_Olist_ONil'( T ), T ), T ) ), 'c_List_Oappend'( W,
% 0.86/1.22 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( T ), T ), T ) ) ) ) ],
% 0.86/1.22 [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y ), hAPP( X, Y ) ) ],
% 0.86/1.22 [ =( 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ),
% 0.86/1.22 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.86/1.22 [ =( 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ),
% 0.86/1.22 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.86/1.22 [ =( 'c_List_Omap'( X, 'c_List_Olist_OCons'( Y, Z, T ), T, U ),
% 0.86/1.22 'c_List_Olist_OCons'( hAPP( X, Y ), 'c_List_Omap'( X, Z, T, U ), U ) ) ]
% 0.86/1.22 ,
% 0.86/1.22 [ =( 'c_List_Olist_OCons'( hAPP( X, Y ), 'c_List_Omap'( X, Z, T, U ), U
% 0.86/1.22 ), 'c_List_Omap'( X, 'c_List_Olist_OCons'( Y, Z, T ), T, U ) ) ],
% 0.86/1.22 [ =( 'c_List_Omap'( X, 'c_List_Olist_OCons'( Y, Z, T ), T, U ),
% 0.86/1.22 'c_List_Olist_OCons'( hAPP( X, Y ), 'c_List_Omap'( X, Z, T, U ), U ) ) ]
% 0.86/1.22 ,
% 0.86/1.22 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.86/1.22 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 0.86/1.22 ) ],
% 0.86/1.22 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.86/1.22 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ) ), =( X, Z
% 0.86/1.22 ) ],
% 0.86/1.22 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.86/1.22 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 0.86/1.22 ) ],
% 0.86/1.22 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.86/1.22 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP(
% 0.86/1.22 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.86/1.22 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP(
% 0.86/1.22 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.86/1.22 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.86/1.22 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 0.86/1.22 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.86/1.22 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.86/1.22 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 0.86/1.22 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.86/1.22 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 0.86/1.22 [ =( 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.86/1.22 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, T ), Z, T ) ) ],
% 0.86/1.22 [ =( 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.86/1.22 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, T ), Z, T ) ) ],
% 0.86/1.22 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ) ]
% 0.86/1.22 ,
% 0.86/1.22 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ) ]
% 0.86/1.22 ,
% 0.86/1.22 [ =( X, Y ), hBOOL( hAPP( hAPP( Z, Y ), X ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.22 'c_ListOrder_Ostep1'( Z, T ), 'c_List_Olist_OCons'( Y, U, T ) ),
% 0.86/1.22 'c_List_Olist_OCons'( X, W, T ) ) ) ) ],
% 0.86/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.86/1.22 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.22 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 0.86/1.22 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.86/1.22 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 0.86/1.22 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 0.86/1.22 [ 'c_Type_Otyping'( X, Y, Z ), ~( 'c_Type_Otyping'( X, T, Z ) ), ~(
% 0.86/1.22 hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 0.86/1.22 'tc_Lambda_OdB' ), T ), Y ) ) ) ],
% 0.86/1.22 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), Y ) ) ],
% 0.86/1.22 [ ~( =( X, 'c_List_Olist_OCons'( Y, X, Z ) ) ) ],
% 0.86/1.22 [ =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'(
% 0.86/1.22 'c_List_Olist_ONil'( Z ), 'c_List_Olist_OCons'( X, Y, Z ), Z ) ) ],
% 0.86/1.22 [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 0.86/1.22 , 'c_Lambda_OdB_OVar'( Y ) ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X
% 0.86/1.22 ) ) ) ],
% 0.86/1.22 [ ~( 'c_Type_Otyping'( X, Y, Z ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'(
% 0.86/1.22 X, T, Z, 'tc_Type_Otype' ), U, W ) ), 'c_Type_Otyping'( X, hAPP( hAPP(
% 0.86/1.22 hAPP( 'c_Lambda_Osubst', U ), Y ), T ), W ) ],
% 0.86/1.22 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Omap'( Y, 'c_List_Olist_ONil'( Z
% 0.86/1.22 ), Z, X ) ) ],
% 0.86/1.22 [ =( X, Y ), hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'( Z, T ), X ), Y ) )
% 0.86/1.22 , ~( hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'( Z, T ), 'c_List_Oappend'( X
% 0.86/1.22 , 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( T ), T ), T ) ),
% 0.86/1.22 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( W, 'c_List_Olist_ONil'( T ), T
% 0.86/1.22 ), T ) ) ) ) ],
% 0.86/1.22 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( 'c_List_Olist_ONil'( X
% 0.86/1.22 ), 'c_List_Olist_ONil'( X ), X ) ) ],
% 0.86/1.22 [ =( 'c_Transitive__Closure_Ortranclp'(
% 0.86/1.22 'c_Transitive__Closure_Ortranclp'( X, Y ), Y ),
% 0.86/1.22 'c_Transitive__Closure_Ortranclp'( X, Y ) ) ],
% 0.86/1.22 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_OrderedGroup_Omonoid__add'( Z,
% 0.86/1.22 X, T ) ) ],
% 0.86/1.22 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_OrderedGroup_Omonoid__add'( Y,
% 0.86/1.22 X, T ) ) ],
% 0.86/1.22 [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP(
% 0.86/1.22 'c_Lambda_Osubst', 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__3'( Y, Z
% 0.86/1.22 , X ) ), 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__4'( Y, Z, X ) ),
% 0.86/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.86/1.22 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__5'( Y, Z, X ),
% 0.86/1.22 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), hBOOL( hAPP( hAPP(
% 0.86/1.22 'c_ListOrder_Ostep1'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), Z ),
% 0.86/1.22 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2'( Y, Z, X ) ) ), =( X,
% 0.86/1.22 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.86/1.22 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1'( Y, Z, X ), Z,
% 0.86/1.22 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.22 'c_Lambda_Obeta', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Y, Z,
% 0.86/1.22 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), X ) ) ) ],
% 0.86/1.22 [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP(
% 0.86/1.22 'c_Lambda_Osubst', 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__3'( Y, Z
% 0.86/1.22 , X ) ), 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__4'( Y, Z, X ) ),
% 0.86/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.86/1.22 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__5'( Y, Z, X ),
% 0.86/1.22 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), hBOOL( hAPP( hAPP(
% 0.86/1.22 'c_ListOrder_Ostep1'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), Z ),
% 0.86/1.22 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2'( Y, Z, X ) ) ), hBOOL(
% 0.86/1.22 hAPP( hAPP( 'c_Lambda_Obeta', Y ),
% 0.86/1.22 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1'( Y, Z, X ) ) ), ~( hBOOL(
% 0.86/1.22 hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Y, Z
% 0.86/1.22 , 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), X ) ) ) ],
% 0.86/1.22 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.86/1.22 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.86/1.22 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.86/1.22 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.86/1.22 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.86/1.22 ) ) ],
% 0.86/1.22 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 0.86/1.22 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.22 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.22 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.86/1.22 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.86/1.22 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( hAPP(
% 0.86/1.22 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 0.86/1.22 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.86/1.22 ) ) ],
% 0.86/1.22 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.86/1.22 X ) ), ~( =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) )
% 0.86/1.22 , =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.22 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 0.86/1.22 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.86/1.22 , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.86/1.22 ,
% 0.86/1.22 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.86/1.22 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.86/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.86/1.22 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.86/1.22 Y ) ],
% 0.86/1.22 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.86/1.22 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.86/1.22 Y ) ],
% 0.86/1.22 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.86/1.22 X ) ), =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.86/1.22 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.86/1.22 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.86/1.22 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.86/1.22 Y ) ],
% 0.86/1.22 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.86/1.22 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.86/1.22 Y ) ],
% 0.86/1.22 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.86/1.22 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.86/1.22 Y ) ],
% 0.86/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.86/1.22 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.86/1.22 Y ) ],
% 0.86/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.86/1.22 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.86/1.22 Y ) ],
% 0.86/1.22 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.86/1.22 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.86/1.22 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.86/1.22 X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.86/1.22 [ =( 'c_Lambda_Oliftn'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y ),
% 0.86/1.22 X ) ],
% 0.86/1.22 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.86/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.86/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.86/1.22 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.86/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 0.86/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.86/1.22 [ ~( =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y )
% 0.86/1.22 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.86/1.22 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), X
% 0.86/1.22 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.86/1.22 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.86/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.22 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.86/1.22 [ =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 0.86/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.86/1.22 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.86/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), X ) ],
% 0.86/1.22 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 0.86/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 0.86/1.22 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T, hAPP( hAPP(
% 0.86/1.22 'c_Lambda_OdB_OApp', U ), W ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( hAPP(
% 0.86/1.22 Z, U ), W ) ) ) ],
% 0.86/1.22 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T, hAPP( hAPP(
% 0.86/1.22 'c_Lambda_OdB_OApp', U ), W ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( hAPP(
% 0.86/1.22 Z, U ), W ) ) ) ],
% 0.86/1.22 [ ~( =( 'c_Lambda_OdB_OVar'( X ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ),
% 0.86/1.22 Z ) ) ) ],
% 0.86/1.22 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.86/1.22 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.86/1.22 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.86/1.22 [ =( 'c_Lambda_OdB_OdB__case'( X, Y, Z, 'c_Lambda_OdB_OVar'( T ), U ),
% 0.86/1.22 hAPP( X, T ) ) ],
% 0.86/1.22 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 0.86/1.22 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.86/1.22 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.86/1.22 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP(
% 0.86/1.22 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 0.86/1.22 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.22 'c_Predicate_Oconversep'( X, T, U ), Z ), Y ) ) ) ],
% 0.86/1.22 [ hBOOL( hAPP( hAPP( 'c_Predicate_Oconversep'( X, Y, Z ), T ), U ) ),
% 0.86/1.22 ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ) ],
% 0.86/1.22 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.22 'c_Predicate_Oconversep'( X, T, U ), Z ), Y ) ) ) ],
% 0.86/1.22 [ hBOOL( hAPP( hAPP( 'c_Predicate_Oconversep'( X, Y, Z ), T ), U ) ),
% 0.86/1.22 ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ) ],
% 0.86/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.86/1.22 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.22 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.86/1.22 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.86/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.86/1.22 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.86/1.22 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.86/1.22 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.86/1.22 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.86/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.86/1.22 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.22 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.86/1.22 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 0.86/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.86/1.22 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.86/1.22 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.86/1.22 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.22 X ), Y ), Z ) ), T ) ) ],
% 0.86/1.22 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 0.86/1.22 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.22 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.86/1.22 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.86/1.22 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.86/1.22 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.86/1.22 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.86/1.22 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.86/1.22 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.86/1.22 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.86/1.22 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.22 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.86/1.22 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.86/1.22 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 0.86/1.22 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 0.86/1.22 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 0.86/1.22 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ) ],
% 0.86/1.22 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 0.86/1.22 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 0.86/1.22 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), hAPP( hAPP(
% 0.86/1.22 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ) ],
% 0.86/1.22 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 0.86/1.22 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.86/1.22 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.86/1.22 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.86/1.22 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.86/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.86/1.22 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.86/1.22 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.86/1.22 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.22 X ), Y ), Z ) ), T ) ) ],
% 0.86/1.22 [ ~( hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'( X, Y ), Z ), T ) ) ),
% 0.86/1.22 hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'( X, Y ), 'c_List_Oappend'( Z, U,
% 0.86/1.22 Y ) ), 'c_List_Oappend'( T, U, Y ) ) ) ],
% 0.86/1.22 [ hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'( X, Y ), 'c_List_Oappend'( Z,
% 0.86/1.22 T, Y ) ), 'c_List_Oappend'( Z, U, Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.22 'c_ListOrder_Ostep1'( X, Y ), T ), U ) ) ) ],
% 0.86/1.22 [ =( X, Y ), =( Z, T ), ~( hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'( U, W
% 0.86/1.22 ), 'c_List_Olist_OCons'( Y, T, W ) ), 'c_List_Olist_OCons'( X, Z, W ) )
% 0.86/1.22 ) ) ],
% 0.86/1.22 [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 0.86/1.22 'c_ListOrder_Ostep1'( X, T ), 'c_List_Olist_OCons'( Y, U, T ) ),
% 0.86/1.22 'c_List_Olist_OCons'( Z, U, T ) ) ) ],
% 0.86/1.22 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( T, Y, Z ) ) ),
% 0.86/1.22 =( X, T ) ],
% 0.86/1.22 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( X, T, Z ) ) ),
% 0.86/1.22 =( Y, T ) ],
% 0.86/1.22 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), Z )
% 0.86/1.22 ) ],
% 0.86/1.22 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), Z )
% 0.86/1.22 ) ],
% 0.86/1.22 [ hBOOL( hAPP( 'c_Wellfounded_Oaccp'( X, Y ), Z ) ), ~( hBOOL( hAPP(
% 0.86/1.22 hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T ) ) ), ~( hBOOL(
% 0.86/1.22 hAPP( 'c_Wellfounded_Oaccp'( X, Y ), T ) ) ) ],
% 0.86/1.22 [ hBOOL( hAPP( 'c_Wellfounded_Oaccp'( X, Y ), Z ) ), ~( hBOOL( hAPP(
% 0.86/1.22 'c_Wellfounded_Oaccp'( X, Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.22 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T ) ) ) ],
% 0.86/1.22 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.86/1.22 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), U )
% 0.86/1.22 , T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y
% 0.86/1.22 ), Z ), U ) ) ) ],
% 0.86/1.22 [ hBOOL( hAPP( 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'(
% 0.86/1.22 'c_Lambda_Obeta', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ),
% 0.86/1.22 X ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.86/1.22 [ hBOOL( hAPP( 'c_InductTermi_OIT', X ) ), ~( hBOOL( hAPP(
% 0.86/1.22 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'( 'c_Lambda_Obeta',
% 0.86/1.22 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), X ) ) ) ],
% 0.86/1.22 [ =( 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y ), X ) ],
% 0.86/1.22 [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y ) ) ],
% 0.86/1.22 [ =( X, 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 0.86/1.22 [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), Y, X ), Y ) ],
% 0.86/1.22 [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y ) ) ],
% 0.86/1.22 [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OAbs'( X ), Y, Z ),
% 0.86/1.22 'c_Lambda_OdB_OAbs'( 'c_Lambda_Osubstn'( X, Y, hAPP( hAPP(
% 0.86/1.22 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), 'c_HOL_Oone__class_Oone'(
% 0.86/1.22 'tc_nat' ) ) ) ) ) ],
% 0.86/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.86/1.22 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.86/1.22 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.86/1.22 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.86/1.22 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.86/1.22 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.86/1.22 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP(
% 0.86/1.22 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ],
% 0.86/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.86/1.22 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.86/1.22 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.86/1.22 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.22 'c_ListOrder_Ostep1'( X, T ), 'c_List_Oappend'( U, 'c_List_Olist_OCons'(
% 0.86/1.22 Y, 'c_List_Olist_ONil'( T ), T ), T ) ), 'c_List_Oappend'( W,
% 0.86/1.22 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( T ), T ), T ) ) ) ) ],
% 0.86/1.22 [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 0.86/1.22 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.86/1.22 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ],
% 0.86/1.22 [ =( hAPP( X, Y ), Z ), ~( 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y )
% 0.86/1.22 , Z ) ) ],
% 0.86/1.22 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Omap'( Y, Z, T, X ) ) ), =( Z
% 0.86/1.22 , 'c_List_Olist_ONil'( T ) ) ],
% 0.86/1.22 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OVar'( X ) ) ) ],
% 0.86/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.22 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.86/1.22 X ), Y ) ],
% 0.86/1.22 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.86/1.22 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.86/1.22 X ), Y ) ],
% 0.86/1.22 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.86/1.22 ), ~( hBOOL( hAPP( hAPP( X, Z ), T ) ) ) ],
% 0.86/1.22 [ ~( hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'( X, Y ),
% 0.86/1.22 'c_List_Olist_ONil'( Y ) ), Z ) ) ) ],
% 0.86/1.22 [ ~( hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'( X, Y ), Z ),
% 0.86/1.22 'c_List_Olist_ONil'( Y ) ) ) ) ],
% 0.86/1.22 [ =( hAPP( 'c_Type_Oshift'( X, Y, Z, T ), Y ), Z ) ],
% 0.86/1.22 [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( 'c_Lambda_Olift', X ), Y
% 0.86/1.22 ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.86/1.22 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z, X ) ) ), =( Y
% 0.86/1.22 , 'c_List_Olist_ONil'( X ) ) ],
% 0.86/1.22 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z, X ) ) ), =( Z
% 0.86/1.22 , 'c_List_Olist_ONil'( X ) ) ],
% 0.86/1.22 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( X
% 0.86/1.22 , 'c_List_Olist_ONil'( Z ) ) ],
% 0.86/1.22 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( Y
% 0.86/1.22 , 'c_List_Olist_ONil'( Z ) ) ],
% 0.86/1.22 [ =( 'c_Predicate_Oconversep'( 'c_fequal'( X ), X, X ), 'c_fequal'( X )
% 0.86/1.22 ) ],
% 0.86/1.22 [ =( 'c_Lambda_OdB_OdB__rec'( X, Y, Z, 'c_Lambda_OdB_OVar'( T ), U ),
% 0.86/1.22 hAPP( X, T ) ) ],
% 0.86/1.22 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.86/1.22 , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_Olift', X ), Y ) ), hAPP( hAPP(
% 0.86/1.22 'c_Lambda_Olift', Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.22 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X
% 0.86/1.22 ), Z ) ) ) ],
% 0.86/1.22 [ hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'( X, Y ), Z ), T ) ), =( T, Z )
% 0.86/1.22 , ~( hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'( X, Y ),
% 0.86/1.22 'c_List_Olist_OCons'( U, Z, Y ) ), 'c_List_Olist_OCons'( W, T, Y ) ) ) )
% 0.86/1.22 ],
% 0.86/1.22 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 0.86/1.22 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_OrderedGroup_Osemigroup__add'( X, U )
% 0.86/1.22 ) ],
% 0.86/1.22 [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OAbs'( Y ), Z ),
% 0.86/1.22 'c_Lambda_OdB_OAbs'( 'c_Lambda_Oliftn'( X, Y, hAPP( hAPP(
% 0.86/1.22 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), 'c_HOL_Oone__class_Oone'(
% 0.86/1.22 'tc_nat' ) ) ) ) ) ],
% 0.86/1.22 [ =( 'c_List_Omap'( X, 'c_List_Oappend'( Y, Z, T ), T, U ),
% 0.86/1.22 'c_List_Oappend'( 'c_List_Omap'( X, Y, T, U ), 'c_List_Omap'( X, Z, T, U
% 0.86/1.22 ), U ) ) ],
% 0.86/1.22 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Olist_OCons'( Y, Z, X ) ) ) ]
% 0.86/1.22 ,
% 0.86/1.22 [ =( X, Y ), =( Z, T ), ~( hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'( U, W
% 0.86/1.22 ), 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( W
% 0.86/1.22 ), W ), W ) ), 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( T,
% 0.86/1.22 'c_List_Olist_ONil'( W ), W ), W ) ) ) ) ],
% 0.86/1.22 [ =( hAPP( hAPP( 'c_Lambda_Olift', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.86/1.22 , X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ), 'c_List_Ofoldl'(
% 0.86/1.22 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_Olift', X ), Z ),
% 0.86/1.22 'c_List_Omap'( 'c_COMBC'( 'c_Lambda_Olift', Z, 'tc_Lambda_OdB', 'tc_nat'
% 0.86/1.22 , 'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 0.86/1.22 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.86/1.22 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 0.86/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( X
% 0.86/1.22 ) ) ],
% 0.86/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.22 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.86/1.22 , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.86/1.22 [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ),
% 0.86/1.22 'c_OrderedGroup_Osemigroup__add'( 'c_HOL_Oplus__class_Oplus'( X ), X ) ]
% 0.86/1.22 ,
% 0.86/1.22 [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 0.86/1.22 , X ), 'c_Lambda_OdB_OVar'( Y ) ), Z ) ) ), ~( hBOOL( hAPP(
% 0.86/1.22 'c_InductTermi_OIT', X ) ) ) ],
% 0.86/1.22 [ =( 'c_Predicate_Oconversep'( 'c_Predicate_Oconversep'( X, Y, Z ), Z, Y
% 0.86/1.22 ), X ) ],
% 0.86/1.22 [ ~( =( 'c_List_Oappend'( X, Y, Z ), X ) ), =( Y, 'c_List_Olist_ONil'( Z
% 0.86/1.22 ) ) ],
% 0.86/1.22 [ ~( =( X, 'c_List_Oappend'( X, Y, Z ) ) ), =( Y, 'c_List_Olist_ONil'( Z
% 0.86/1.22 ) ) ],
% 0.86/1.22 [ ~( =( 'c_List_Oappend'( X, Y, Z ), Y ) ), =( X, 'c_List_Olist_ONil'( Z
% 0.86/1.22 ) ) ],
% 0.86/1.22 [ ~( =( X, 'c_List_Oappend'( Y, X, Z ) ) ), =( Y, 'c_List_Olist_ONil'( Z
% 0.86/1.22 ) ) ],
% 0.86/1.22 [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), 'c_List_Olist_OCons'( Y
% 0.86/1.22 , Z, X ), X ), 'c_List_Olist_OCons'( Y, Z, X ) ) ],
% 0.86/1.22 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.86/1.22 ) ), =( X, T ) ],
% 0.86/1.22 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.86/1.22 ) ), =( Y, U ) ],
% 0.86/1.22 [ hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'( X, Y ), Z ), T ) ), hBOOL(
% 0.86/1.22 hAPP( hAPP( X, U ), W ) ), ~( hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'( X
% 0.86/1.22 , Y ), 'c_List_Olist_OCons'( U, Z, Y ) ), 'c_List_Olist_OCons'( W, T, Y )
% 0.86/1.22 ) ) ) ],
% 0.86/1.22 [ hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'( X, Y ), 'c_List_Olist_OCons'(
% 0.86/1.22 Z, T, Y ) ), 'c_List_Olist_OCons'( Z, U, Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.22 'c_ListOrder_Ostep1'( X, Y ), T ), U ) ) ) ],
% 0.86/1.22 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 0.86/1.22 'c_Lambda_OdB_OVar'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( Y, U ) ) )
% 0.86/1.22 ],
% 0.86/1.22 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 0.86/1.22 'c_Lambda_OdB_OVar'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( Y, U ) ) )
% 0.86/1.22 ],
% 0.86/1.22 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ), =( X, Y
% 0.86/1.22 ) ],
% 0.86/1.22 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.86/1.22 'c_Nat_Osemiring__1__class_Oof__nat'( hAPP( hAPP(
% 0.86/1.22 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), X ), hAPP( hAPP(
% 0.86/1.22 'c_HOL_Oplus__class_Oplus'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 0.86/1.22 , X ) ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ) ],
% 0.86/1.22 [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Olist_ONil'( T ) ) ), =( Y
% 0.86/1.22 , 'c_List_Olist_ONil'( Z ) ) ],
% 0.86/1.22 [ ~( =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.86/1.22 'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Oappend'( T,
% 0.86/1.22 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ), =( X, T
% 0.86/1.22 ) ],
% 0.86/1.22 [ ~( =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.86/1.22 'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Oappend'( T,
% 0.86/1.22 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ), =( Y, U
% 0.86/1.22 ) ],
% 0.86/1.22 [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), 'c_List_Olist_ONil'( X
% 0.86/1.22 ), X ), 'c_List_Olist_ONil'( X ) ) ],
% 0.86/1.22 [ =( hAPP( hAPP( 'c_Lambda_Olift', 'c_Lambda_OdB_OAbs'( X ) ), Y ),
% 0.86/1.22 'c_Lambda_OdB_OAbs'( hAPP( hAPP( 'c_Lambda_Olift', X ), hAPP( hAPP(
% 0.86/1.22 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), 'c_HOL_Oone__class_Oone'(
% 0.86/1.22 'tc_nat' ) ) ) ) ) ],
% 0.86/1.22 [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z ),
% 0.86/1.22 'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.86/1.22 [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.86/1.22 'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ],
% 0.86/1.22 [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z ),
% 0.86/1.22 'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.86/1.22 [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.86/1.22 'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ],
% 0.86/1.22 [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 0.86/1.22 , 'v_a____' ), X ), Y ) ) ), ~( 'c_Type_Otyping'( Z, X, 'v_T____' ) ),
% 0.86/1.22 ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ), ~( 'c_Type_Otyping'(
% 0.86/1.22 'c_Type_Oshift'( Z, Y, 'v_T____', 'tc_Type_Otype' ), 'v_a____', T ) ) ]
% 0.86/1.22 ,
% 0.86/1.22 [ 'c_Type_Otyping'( 'c_Type_Oshift'( X, Y, Z, 'tc_Type_Otype' ), hAPP(
% 0.86/1.22 hAPP( 'c_Lambda_Olift', T ), Y ), U ), ~( 'c_Type_Otyping'( X, T, U ) ) ]
% 0.86/1.22 ,
% 0.86/1.22 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.86/1.22 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), U )
% 0.86/1.22 , T ) ) ), ~( hBOOL( hAPP( hAPP( X, Z ), U ) ) ) ],
% 0.86/1.22 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.86/1.22 ), ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.22 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), U ) ) ) ],
% 0.86/1.22 [ hBOOL( hAPP( 'c_Wellfounded_Oaccp'( X, Y ), Z ) ), ~( hBOOL( hAPP(
% 0.86/1.22 hAPP( X, Z ), T ) ) ), ~( hBOOL( hAPP( 'c_Wellfounded_Oaccp'( X, Y ), T )
% 0.86/1.22 ) ) ],
% 0.86/1.22 [ hBOOL( hAPP( 'c_Wellfounded_Oaccp'( X, Y ), Z ) ), ~( hBOOL( hAPP(
% 0.86/1.22 hAPP( X, Z ), T ) ) ), ~( hBOOL( hAPP( 'c_Wellfounded_Oaccp'( X, Y ), T )
% 0.86/1.22 ) ) ],
% 0.86/1.22 [ =( hAPP( hAPP( 'c_Lambda_Olift', hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 0.86/1.22 , Y ) ), Z ), hAPP( hAPP( 'c_Lambda_OdB_OApp', hAPP( hAPP(
% 0.86/1.22 'c_Lambda_Olift', X ), Z ) ), hAPP( hAPP( 'c_Lambda_Olift', Y ), Z ) ) )
% 0.86/1.22 ],
% 0.86/1.22 [ =( 'c_Lambda_OdB_OdB__case'( X, Y, Z, hAPP( hAPP( 'c_Lambda_OdB_OApp'
% 0.86/1.22 , T ), U ), W ), hAPP( hAPP( Y, T ), U ) ) ],
% 0.86/1.22 [ =( 'c_Lambda_OdB_OdB__rec'( X, Y, Z, hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.86/1.22 T ), U ), W ), hAPP( hAPP( hAPP( hAPP( Y, T ), U ),
% 0.86/1.22 'c_Lambda_OdB_OdB__rec'( X, Y, Z, T, W ) ), 'c_Lambda_OdB_OdB__rec'( X, Y
% 0.86/1.22 , Z, U, W ) ) ) ],
% 0.86/1.22 [ =( 'c_Lambda_Oliftn'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), Z ), T
% 0.86/1.22 ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Oliftn'( X, Y, T ) ),
% 0.86/1.22 'c_Lambda_Oliftn'( X, Z, T ) ) ) ],
% 0.86/1.22 [ =( 'c_Lambda_Osubstn'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), Z, T
% 0.86/1.22 ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Osubstn'( X, Z, T ) ),
% 0.86/1.22 'c_Lambda_Osubstn'( Y, Z, T ) ) ) ],
% 0.86/1.22 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_Lambda_OdB_OVar'(
% 0.86/1.22 Z ) ) ) ],
% 0.86/1.22 [ =( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ),
% 0.86/1.22 'c_Lambda_Osko__Lambda__Xbeta__cases__3__3'( Y, Z, X ) ) ), hBOOL( hAPP(
% 0.86/1.22 hAPP( 'c_Lambda_Obeta', Y ), 'c_Lambda_Osko__Lambda__Xbeta__cases__3__2'(
% 0.86/1.22 Y, Z, X ) ) ), =( Y, 'c_Lambda_OdB_OAbs'(
% 0.86/1.22 'c_Lambda_Osko__Lambda__Xbeta__cases__3__1'( Y, Z, X ) ) ), ~( hBOOL(
% 0.86/1.22 hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), Z ) )
% 0.86/1.22 , X ) ) ) ],
% 0.86/1.22 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ),
% 0.86/1.22 'c_Lambda_Osko__Lambda__Xbeta__cases__3__3'( Y, X, Z ) ) ), =( Z, hAPP(
% 0.86/1.22 hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Osko__Lambda__Xbeta__cases__3__2'( Y
% 0.86/1.22 , X, Z ) ), X ) ), =( Y, 'c_Lambda_OdB_OAbs'(
% 0.86/1.22 'c_Lambda_Osko__Lambda__Xbeta__cases__3__1'( Y, X, Z ) ) ), ~( hBOOL(
% 0.86/1.22 hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), X ) )
% 0.86/1.22 , Z ) ) ) ],
% 0.86/1.22 [ =( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ),
% 0.86/1.22 'c_Lambda_Osko__Lambda__Xbeta__cases__3__3'( Y, Z, X ) ) ), =( X, hAPP(
% 0.86/1.22 hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Osko__Lambda__Xbeta__cases__3__2'( Y
% 0.86/1.22 , Z, X ) ), Z ) ), =( Y, 'c_Lambda_OdB_OAbs'(
% 0.86/1.22 'c_Lambda_Osko__Lambda__Xbeta__cases__3__1'( Y, Z, X ) ) ), ~( hBOOL(
% 0.86/1.22 hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), Z ) )
% 0.86/1.22 , X ) ) ) ],
% 0.86/1.22 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ),
% 0.86/1.22 'c_Lambda_Osko__Lambda__Xbeta__cases__3__3'( Y, X, Z ) ) ), hBOOL( hAPP(
% 0.86/1.22 hAPP( 'c_Lambda_Obeta', Y ), 'c_Lambda_Osko__Lambda__Xbeta__cases__3__2'(
% 0.86/1.22 Y, X, Z ) ) ), =( Y, 'c_Lambda_OdB_OAbs'(
% 0.86/1.22 'c_Lambda_Osko__Lambda__Xbeta__cases__3__1'( Y, X, Z ) ) ), ~( hBOOL(
% 0.86/1.22 hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), X ) )
% 0.86/1.22 , Z ) ) ) ],
% 0.86/1.22 [ =( 'c_Lambda_Osubstn'( X, Y, Z ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 0.86/1.22 , X ), 'c_Lambda_Oliftn'( Z, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 0.86/1.22 ), Z ) ) ],
% 0.86/1.22 [ 'c_Type_Otyping'( X, Y, Z ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', T
% 0.86/1.22 ), Y ) ) ), ~( 'c_Type_Otyping'( X, T, Z ) ) ],
% 0.86/1.22 [ ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.86/1.22 ) ) ) ],
% 0.86/1.22 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_Olift', X )
% 0.86/1.22 , Y ) ), hAPP( hAPP( 'c_Lambda_Olift', Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.22 'c_Lambda_Obeta', X ), Z ) ) ) ],
% 0.86/1.22 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OAbs'( X ) ), Y
% 0.86/1.22 ), Z ), 'c_Lambda_OdB_OAbs'( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ),
% 0.86/1.22 hAPP( hAPP( 'c_Lambda_Olift', Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.86/1.22 ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ),
% 0.86/1.22 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ) ) ],
% 0.86/1.22 [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP(
% 0.86/1.22 'c_Lambda_Osubst', 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__3'( Y, Z
% 0.86/1.22 , X ) ), 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__4'( Y, Z, X ) ),
% 0.86/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.86/1.22 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__5'( Y, Z, X ),
% 0.86/1.22 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), =( X, 'c_List_Ofoldl'(
% 0.86/1.22 'c_Lambda_OdB_OApp', Y, 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2'(
% 0.86/1.22 Y, Z, X ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), hBOOL( hAPP( hAPP(
% 0.86/1.22 'c_Lambda_Obeta', Y ), 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1'(
% 0.86/1.22 Y, Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 0.86/1.22 'c_Lambda_OdB_OApp', Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), X ) ) )
% 0.86/1.22 ],
% 0.86/1.22 [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP(
% 0.86/1.22 'c_Lambda_Osubst', 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__3'( Y, Z
% 0.86/1.22 , X ) ), 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__4'( Y, Z, X ) ),
% 0.86/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.86/1.22 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__5'( Y, Z, X ),
% 0.86/1.22 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), =( X, 'c_List_Ofoldl'(
% 0.86/1.22 'c_Lambda_OdB_OApp', Y, 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2'(
% 0.86/1.22 Y, Z, X ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), =( X, 'c_List_Ofoldl'(
% 0.86/1.22 'c_Lambda_OdB_OApp', 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1'( Y
% 0.86/1.22 , Z, X ), Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.22 'c_Lambda_Obeta', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Y, Z,
% 0.86/1.22 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), X ) ) ) ],
% 0.86/1.22 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ) ],
% 0.86/1.22 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 0.86/1.22 'c_Lambda_OdB_OAbs'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( T, U ) ) )
% 0.86/1.22 ],
% 0.86/1.22 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 0.86/1.22 'c_Lambda_OdB_OAbs'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( T, U ) ) )
% 0.86/1.22 ],
% 0.86/1.22 [ =( 'c_Lambda_OdB_OdB__rec'( X, Y, Z, 'c_Lambda_OdB_OAbs'( T ), U ),
% 0.86/1.22 hAPP( hAPP( Z, T ), 'c_Lambda_OdB_OdB__rec'( X, Y, Z, T, U ) ) ) ],
% 0.86/1.22 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ) ],
% 0.86/1.22 [ =( 'c_Lambda_OdB_OdB__case'( X, Y, Z, 'c_Lambda_OdB_OAbs'( T ), U ),
% 0.86/1.22 hAPP( Z, T ) ) ],
% 0.86/1.22 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OAbs'( X ) ) ), ~(
% 0.86/1.22 hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.86/1.22 [ =( X, 'c_Lambda_OdB_OAbs'(
% 0.86/1.22 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__3'( X, Y, Z ) ) ), hBOOL(
% 0.86/1.22 hAPP( hAPP( 'c_ListOrder_Ostep1'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), Y
% 0.86/1.22 ), 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2'( X, Y, Z ) ) ),
% 0.86/1.22 hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ),
% 0.86/1.22 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1'( X, Y, Z ) ) ), ~( hBOOL(
% 0.86/1.22 hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y
% 0.86/1.22 , 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ) ) ) ],
% 0.86/1.22 [ =( X, 'c_Lambda_OdB_OAbs'(
% 0.86/1.22 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__3'( X, Y, Z ) ) ), hBOOL(
% 0.86/1.22 hAPP( hAPP( 'c_ListOrder_Ostep1'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), Y
% 0.86/1.22 ), 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2'( X, Y, Z ) ) ), =( Z
% 0.86/1.22 , 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.86/1.22 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1'( X, Y, Z ), Y,
% 0.86/1.22 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.22 'c_Lambda_Obeta', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y,
% 0.86/1.22 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ) ) ) ],
% 0.86/1.22 [ hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'( 'c_Lambda_Obeta',
% 0.86/1.22 'tc_Lambda_OdB' ), X ),
% 0.86/1.22 'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1'( Y, X, Z ) ) ),
% 0.86/1.22 ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 0.86/1.22 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Y ), X, 'tc_Lambda_OdB',
% 0.86/1.22 'tc_Lambda_OdB' ) ), Z ) ) ) ],
% 0.86/1.22 [ =( X, Y ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'(
% 0.86/1.22 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB',
% 0.86/1.22 'tc_Lambda_OdB' ), Y ) ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'(
% 0.86/1.22 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB',
% 0.86/1.22 'tc_Lambda_OdB' ), X ) ) ],
% 0.86/1.22 [ =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.86/1.22 'c_Lambda_OdB_OVar'( X ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.86/1.22 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.86/1.22 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.86/1.22 'c_Lambda_OdB_OApp', Z, T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X,
% 0.86/1.22 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z,
% 0.86/1.22 'c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1'( X
% 0.86/1.22 , Y, Z, T ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), =( T,
% 0.86/1.22 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ],
% 0.86/1.22 [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.86/1.22 'c_ListApplication_Osko__ListApplication__Xex__head__tail__1__2'( X ),
% 0.86/1.22 'c_ListApplication_Osko__ListApplication__Xex__head__tail__1__1'( X ),
% 0.86/1.22 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.86/1.22 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.86/1.22 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Z, 'c_List_Olist_ONil'(
% 0.86/1.22 'tc_Lambda_OdB' ) ) ],
% 0.86/1.22 [ =( 'c_List_Ofoldl'( X, hAPP( hAPP( X, Y ), Z ), T, U, U ), hAPP( hAPP(
% 0.86/1.22 X, Y ), 'c_List_Ofoldl'( X, Z, T, U, U ) ) ), ~(
% 0.86/1.22 'c_OrderedGroup_Osemigroup__add'( X, U ) ) ],
% 0.86/1.22 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_ONil'( Z ), T, Z ), Y ) ],
% 0.86/1.22 [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), =( 'c_List_Ofoldl'(
% 0.86/1.22 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.22 X ), Y ), Z ), T, X, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.86/1.22 ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), Z, T, X, X ) ) ) ]
% 0.86/1.22 ,
% 0.86/1.22 [ =( hAPP( hAPP( X, Y ), 'c_List_Ofoldl'( X, Z, T, U, U ) ),
% 0.86/1.22 'c_List_Ofoldl'( X, Y, T, U, U ) ), ~( 'c_OrderedGroup_Omonoid__add'( Z,
% 0.86/1.22 X, U ) ) ],
% 0.86/1.22 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_OCons'( Z, T, U ), W, U ),
% 0.86/1.22 'c_List_Ofoldl'( X, hAPP( hAPP( X, Y ), Z ), T, W, U ) ) ],
% 0.86/1.22 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Oappend'( Z, T, U ), W, U ),
% 0.86/1.22 'c_List_Ofoldl'( X, 'c_List_Ofoldl'( X, Y, Z, W, U ), T, W, U ) ) ],
% 0.86/1.22 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_List_Ofoldl'(
% 0.86/1.22 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ), T )
% 0.86/1.22 , 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP(
% 0.86/1.22 'c_Lambda_Osubst', X ), Z ), T ), 'c_List_Omap'( 'c_COMBC'( 'c_COMBC'(
% 0.86/1.22 'c_Lambda_Osubst', Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB', 'tc_fun'(
% 0.86/1.22 'tc_nat', 'tc_Lambda_OdB' ) ), T, 'tc_Lambda_OdB', 'tc_nat',
% 0.86/1.22 'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB'
% 0.86/1.22 , 'tc_Lambda_OdB' ) ) ],
% 0.86/1.22 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.86/1.22 ), X ), Y ) ],
% 0.86/1.22 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP( 'c_Lambda_Olift',
% 0.86/1.22 X ), Y ) ), Z ), Y ), X ) ],
% 0.86/1.22 [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_ea______', 'v_ia______',
% 0.86/1.22 'v_T____', 'tc_Type_Otype' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP(
% 0.86/1.22 hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( 'v_r____' ) ), 'v_a____'
% 0.86/1.22 ), 'v_as____', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'v_T_Ha______' ) ]
% 0.86/1.22 ,
% 0.86/1.22 [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_i____', 'v_T____',
% 0.86/1.22 'tc_Type_Otype' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP(
% 0.86/1.22 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( 'v_r____' ) ), 'v_a____' ),
% 0.86/1.22 'v_as____', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'v_T_H____' ) ],
% 0.86/1.22 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ),
% 0.86/1.22 'c_Lambda_Osko__Lambda__Xbeta__cases__3__3'( Y, X, Z ) ) ), =( Z, hAPP(
% 0.86/1.22 hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Osko__Lambda__Xbeta__cases__3__2'( Y
% 0.86/1.22 , X, Z ) ), X ) ), =( Z, hAPP( hAPP( hAPP( 'c_Lambda_Osubst',
% 0.86/1.22 'c_Lambda_Osko__Lambda__Xbeta__cases__3__1'( Y, X, Z ) ), X ),
% 0.86/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.22 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), X ) ), Z ) ) ) ]
% 0.86/1.22 ,
% 0.86/1.22 [ =( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ),
% 0.86/1.22 'c_Lambda_Osko__Lambda__Xbeta__cases__3__3'( Y, Z, X ) ) ), hBOOL( hAPP(
% 0.86/1.22 hAPP( 'c_Lambda_Obeta', Y ), 'c_Lambda_Osko__Lambda__Xbeta__cases__3__2'(
% 0.86/1.22 Y, Z, X ) ) ), =( X, hAPP( hAPP( hAPP( 'c_Lambda_Osubst',
% 0.86/1.22 'c_Lambda_Osko__Lambda__Xbeta__cases__3__1'( Y, Z, X ) ), Z ),
% 0.86/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.22 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), Z ) ), X ) ) ) ]
% 0.86/1.22 ,
% 0.86/1.22 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ),
% 0.86/1.22 'c_Lambda_Osko__Lambda__Xbeta__cases__3__3'( Y, X, Z ) ) ), hBOOL( hAPP(
% 0.86/1.22 hAPP( 'c_Lambda_Obeta', Y ), 'c_Lambda_Osko__Lambda__Xbeta__cases__3__2'(
% 0.86/1.22 Y, X, Z ) ) ), =( Z, hAPP( hAPP( hAPP( 'c_Lambda_Osubst',
% 0.86/1.22 'c_Lambda_Osko__Lambda__Xbeta__cases__3__1'( Y, X, Z ) ), X ),
% 0.86/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.22 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), X ) ), Z ) ) ) ]
% 0.86/1.22 ,
% 0.86/1.22 [ =( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ),
% 0.86/1.22 'c_Lambda_Osko__Lambda__Xbeta__cases__3__3'( Y, Z, X ) ) ), =( X, hAPP(
% 0.86/1.22 hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Osko__Lambda__Xbeta__cases__3__2'( Y
% 0.86/1.22 , Z, X ) ), Z ) ), =( X, hAPP( hAPP( hAPP( 'c_Lambda_Osubst',
% 0.86/1.22 'c_Lambda_Osko__Lambda__Xbeta__cases__3__1'( Y, Z, X ) ), Z ),
% 0.86/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.22 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), Z ) ), X ) ) ) ]
% 0.86/1.22 ,
% 0.86/1.22 [ =( X, 'c_Lambda_OdB_OAbs'(
% 0.86/1.22 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__3'( X, Y, Z ) ) ), =( Z,
% 0.86/1.22 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X,
% 0.86/1.22 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2'( X, Y, Z ),
% 0.86/1.22 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), =( Z, 'c_List_Ofoldl'(
% 0.86/1.22 'c_Lambda_OdB_OApp', 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1'( X
% 0.86/1.22 , Y, Z ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.22 'c_Lambda_Obeta', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y,
% 0.86/1.22 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ) ) ) ],
% 0.86/1.22 [ =( X, 'c_Lambda_OdB_OAbs'(
% 0.86/1.22 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__3'( X, Y, Z ) ) ), =( Z,
% 0.86/1.22 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X,
% 0.86/1.22 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2'( X, Y, Z ),
% 0.86/1.22 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), hBOOL( hAPP( hAPP( 'c_Lambda_Obeta'
% 0.86/1.22 , X ), 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1'( X, Y, Z ) ) ),
% 0.86/1.22 ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 0.86/1.22 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ) ) )
% 0.86/1.22 ],
% 0.86/1.22 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_a____' ) ) ],
% 0.86/1.22 [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Y ),
% 0.86/1.22 'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1'( Y, Z, X ),
% 0.86/1.22 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.22 'c_Lambda_Obeta', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.86/1.22 'c_Lambda_OdB_OVar'( Y ), Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), X ) )
% 0.86/1.22 ) ],
% 0.86/1.22 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.86/1.22 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.86/1.22 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.86/1.22 ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.86/1.22 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.86/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.86/1.22 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.86/1.22 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.86/1.22 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.22 ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.86/1.22 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.86/1.22 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.86/1.22 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.86/1.22 ), ~( =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.22 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.86/1.22 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.86/1.22 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.22 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.22 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.86/1.22 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_List_Ofoldl'(
% 0.86/1.22 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ), Z, X, X
% 0.86/1.22 ) ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X, X ) ) ]
% 0.86/1.22 ,
% 0.86/1.22 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.86/1.22 , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP(
% 0.86/1.22 hAPP( 'c_Lambda_OdB_OApp', X ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.22 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), Y
% 0.86/1.22 ), Z ) ) ) ],
% 0.86/1.22 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.86/1.22 , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP(
% 0.86/1.22 hAPP( 'c_Lambda_OdB_OApp', Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.22 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X
% 0.86/1.22 ), Z ) ) ) ],
% 0.86/1.22 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.86/1.22 , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP(
% 0.86/1.22 hAPP( 'c_Lambda_OdB_OApp', Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.22 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), Y
% 0.86/1.22 ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.86/1.22 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X ), Z ) ) ) ],
% 0.86/1.22 [ =( 'c_Lambda_Osubstn'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 0.86/1.22 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ),
% 0.86/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.86/1.22 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ),
% 0.86/1.22 'c_Lambda_Osko__Lambda__Xbeta__cases__2__1'( X, Y ) ) ), ~( hBOOL( hAPP(
% 0.86/1.22 hAPP( 'c_Lambda_Obeta', 'c_Lambda_OdB_OAbs'( X ) ), Y ) ) ) ],
% 0.86/1.22 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.86/1.22 , 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( X ) ), 'c_Lambda_OdB_OAbs'( Y )
% 0.86/1.22 ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.86/1.22 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X ), Y ) ) ) ],
% 0.86/1.22 [ =( X, 'c_Lambda_OdB_OAbs'( 'c_Lambda_Osko__Lambda__Xbeta__cases__2__1'(
% 0.86/1.22 Y, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_Lambda_OdB_OAbs'(
% 0.86/1.22 Y ) ), X ) ) ) ],
% 0.86/1.22 [ =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.86/1.22 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 0.86/1.22 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 0.86/1.22 ) ) ],
% 0.86/1.22 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 0.86/1.22 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.86/1.22 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB',
% 0.86/1.22 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.86/1.22 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 0.86/1.22 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.86/1.22 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB',
% 0.86/1.22 'tc_Lambda_OdB' ) ) ), =( Y, T ) ],
% 0.86/1.22 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.86/1.22 'c_Lambda_OdB_OApp', Z, 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.86/1.22 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( hAPP( hAPP(
% 0.86/1.22 'c_Lambda_OdB_OApp', X ), Y ), Z ) ],
% 0.86/1.22 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.86/1.22 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( 'c_Lambda_OdB_OVar'( X )
% 0.86/1.22 , Y ) ],
% 0.86/1.22 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.86/1.22 , 'tc_Lambda_OdB' ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ), Z ) )
% 0.86/1.22 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), T ), Z ) ) ), ~( hBOOL( hAPP(
% 0.86/1.22 hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 0.86/1.22 'tc_Lambda_OdB' ), Y ), T ) ) ) ],
% 0.86/1.22 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.86/1.22 , 'tc_Lambda_OdB' ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ), Z ) )
% 0.86/1.22 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', T ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 0.86/1.22 hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 0.86/1.22 'tc_Lambda_OdB' ), X ), T ) ) ) ],
% 0.86/1.22 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.86/1.22 , 'tc_Lambda_OdB' ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ), Z ) )
% 0.86/1.22 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), T ), Z ) ) ), ~( hBOOL( hAPP(
% 0.86/1.22 hAPP( 'c_Lambda_Obeta', Y ), T ) ) ) ],
% 0.86/1.22 [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 0.86/1.22 , 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP(
% 0.86/1.22 'c_Lambda_Osubst', 'v_r____' ), 'v_a____' ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.22 'tc_nat' ) ), 'v_as____', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), X ), Y )
% 0.86/1.22 ) ), ~( 'c_Type_Otyping'( Z, X, 'v_T____' ) ), ~( hBOOL( hAPP(
% 0.86/1.22 'c_InductTermi_OIT', X ) ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( Z, Y
% 0.86/1.22 , 'v_T____', 'tc_Type_Otype' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.86/1.22 hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'v_r____' ), 'v_a____' ),
% 0.86/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'v_as____', 'tc_Lambda_OdB',
% 0.86/1.22 'tc_Lambda_OdB' ), T ) ) ],
% 0.86/1.22 [ ~( hBOOL( hAPP( 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'(
% 0.86/1.22 'c_Lambda_Obeta', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ),
% 0.86/1.22 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 0.86/1.22 , X ), Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_Lambda_OdB'
% 0.86/1.22 , 'tc_Lambda_OdB' ) ) ) ), ~( hBOOL( hAPP( 'c_Wellfounded_Oaccp'(
% 0.86/1.22 'c_Predicate_Oconversep'( 'c_Lambda_Obeta', 'tc_Lambda_OdB',
% 0.86/1.22 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), Y ) ) ), hBOOL( hAPP(
% 0.86/1.22 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'( 'c_Lambda_Obeta',
% 0.86/1.22 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.86/1.22 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'(
% 0.86/1.22 X ) ), Y ), Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ],
% 0.86/1.22 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.86/1.22 , 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y,
% 0.86/1.22 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), 'c_List_Ofoldl'(
% 0.86/1.22 'c_Lambda_OdB_OApp', Z, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), ~(
% 0.86/1.22 hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 0.86/1.22 'tc_Lambda_OdB' ), X ), Z ) ) ) ],
% 0.86/1.22 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 0.86/1.22 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ),
% 0.86/1.22 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Z, 'tc_Lambda_OdB',
% 0.86/1.22 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'(
% 0.86/1.22 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), Y ), Z ) ) ) ],
% 0.86/1.22 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.86/1.22 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Z, 'c_List_Olist_ONil'(
% 0.86/1.22 'tc_Lambda_OdB' ) ) ],
% 0.86/1.22 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 0.86/1.22 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.86/1.22 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 0.86/1.22 'tc_Lambda_OdB' ) ) ) ],
% 0.86/1.22 [ =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.86/1.22 'c_Lambda_OdB_OAbs'( X ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.86/1.22 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.86/1.22 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 0.86/1.22 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( Y,
% 0.86/1.22 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ],
% 0.86/1.22 [ =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 0.86/1.22 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 0.86/1.22 ), 'c_Lambda_OdB_OAbs'( X ) ) ],
% 0.86/1.22 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y )
% 0.86/1.22 , 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T,
% 0.86/1.22 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ],
% 0.86/1.22 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.86/1.22 , hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y ), Z,
% 0.86/1.22 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP(
% 0.86/1.22 'c_InductTermi_OIT', Y ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT',
% 0.86/1.22 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 0.86/1.22 , X ), Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_Lambda_OdB'
% 0.86/1.22 , 'tc_Lambda_OdB' ) ) ) ) ],
% 0.86/1.22 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.86/1.22 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'v_r____' ), 'v_a____' ),
% 0.86/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'v_as____', 'tc_Lambda_OdB',
% 0.86/1.22 'tc_Lambda_OdB' ) ) ) ],
% 0.86/1.22 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP(
% 0.86/1.22 'c_Lambda_OdB_OApp', X ), Y ) ), Z ), T ), hAPP( hAPP(
% 0.86/1.22 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Z ), T ) )
% 0.86/1.22 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', Y ), Z ), T ) ) ) ],
% 0.86/1.22 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_Lambda_OdB_OAbs'(
% 0.86/1.22 Z ) ) ) ],
% 0.86/1.22 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ),
% 0.86/1.22 Z ) ) ) ],
% 0.86/1.22 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 0.86/1.22 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( X,
% 0.86/1.22 'c_Lambda_OdB_OAbs'( Z ) ) ],
% 0.86/1.22 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 0.86/1.22 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.86/1.22 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 0.86/1.22 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.86/1.22 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 0.86/1.22 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.86/1.22 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 0.86/1.22 'tc_Lambda_OdB' ) ) ), =( Y, T ) ],
% 0.86/1.22 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( hAPP(
% 0.86/1.22 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( X, Z ) ],
% 0.86/1.22 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( hAPP(
% 0.86/1.22 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( Y, T ) ],
% 0.86/1.22 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.86/1.22 'c_Lambda_OdB_OAbs'( X ) ), Y ) ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X
% 0.86/1.22 ), Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.86/1.22 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 0.86/1.22 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ),
% 0.86/1.22 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, Y, 'tc_Lambda_OdB',
% 0.86/1.22 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ), Z ) )
% 0.86/1.22 ) ],
% 0.86/1.22 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ), =( X, Y
% 0.86/1.22 ) ],
% 0.86/1.22 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( hAPP(
% 0.86/1.22 'c_Lambda_Osubst', X ), Y ), Z ) ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst',
% 0.86/1.22 T ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ), T ) ) ) ]
% 0.86/1.22 ,
% 0.86/1.22 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.86/1.22 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( 'c_Lambda_OdB_OAbs'( X )
% 0.86/1.22 , Y ) ],
% 0.86/1.22 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 0.86/1.22 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, Y,
% 0.86/1.22 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.86/1.22 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.86/1.22 X ), Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Z ) ) ), ~( hBOOL( hAPP(
% 0.86/1.22 hAPP( 'c_Lambda_Obeta', Y ), Z ) ) ) ],
% 0.86/1.22 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.86/1.22 X ), Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Z ), Y ) ) ), ~( hBOOL( hAPP(
% 0.86/1.22 hAPP( 'c_Lambda_Obeta', X ), Z ) ) ) ],
% 0.86/1.22 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_Lambda_OdB_OAbs'( X ) ),
% 0.86/1.22 'c_Lambda_OdB_OAbs'( Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X )
% 0.86/1.22 , Y ) ) ) ],
% 0.86/1.22 [ ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 0.86/1.22 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'(
% 0.86/1.22 'v_r____' ) ), 'v_a____' ), 'v_as____', 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 0.86/1.22 ) ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP(
% 0.86/1.22 'c_Lambda_Osubst', 'v_r____' ), 'v_a____' ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.22 'tc_nat' ) ), 'v_as____', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ) ],
% 0.86/1.22 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.86/1.22 'class_Orderings_Opreorder'( Y ) ) ],
% 0.86/1.22 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.86/1.22 'class_Orderings_Oorder'( Y ) ) ],
% 0.86/1.22 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.86/1.22 ],
% 0.86/1.22 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.86/1.22 ) ],
% 0.86/1.22 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.86/1.22 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.86/1.22 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.86/1.22 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.86/1.22 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.86/1.22 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.86/1.22 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.86/1.22 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.86/1.22 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.86/1.22 [ 'class_OrderedGroup_Osemigroup__add'( 'tc_nat' ) ],
% 0.86/1.22 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 0.86/1.22 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 0.86/1.22 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.86/1.22 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.86/1.22 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.86/1.22 [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ],
% 0.86/1.22 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.86/1.22 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.86/1.22 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.86/1.22 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 0.86/1.22 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.86/1.22 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.86/1.22 [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ],
% 0.86/1.22 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ), Y ) ) ) ]
% 0.86/1.22 ] .
% 0.86/1.22
% 0.86/1.22
% 0.86/1.22 percentage equality = 0.439820, percentage horn = 0.859447
% 0.86/1.22 This is a problem with some equality
% 0.86/1.22
% 0.86/1.22
% 0.86/1.22
% 0.86/1.22 Options Used:
% 0.86/1.22
% 0.86/1.22 useres = 1
% 0.86/1.22 useparamod = 1
% 0.86/1.22 useeqrefl = 1
% 0.86/1.22 useeqfact = 1
% 0.86/1.22 usefactor = 1
% 0.86/1.22 usesimpsplitting = 0
% 0.86/1.22 usesimpdemod = 5
% 0.86/1.22 usesimpres = 3
% 0.86/1.22
% 0.86/1.22 resimpinuse = 1000
% 0.86/1.22 resimpclauses = 20000
% 0.86/1.22 substype = eqrewr
% 0.86/1.22 backwardsubs = 1
% 0.86/1.22 selectoldest = 5
% 0.86/1.22
% 0.86/1.22 litorderings [0] = split
% 0.86/1.22 litorderings [1] = extend the termordering, first sorting on arguments
% 0.86/1.22
% 0.86/1.22 termordering = kbo
% 0.86/1.22
% 0.86/1.22 litapriori = 0
% 0.86/1.22 termapriori = 1
% 0.86/1.22 litaposteriori = 0
% 0.86/1.22 termaposteriori = 0
% 0.86/1.22 demodaposteriori = 0
% 0.86/1.22 ordereqreflfact = 0
% 0.86/1.22
% 0.86/1.22 litselect = negord
% 0.86/1.22
% 0.86/1.22 maxweight = 15
% 0.86/1.22 maxdepth = 30000
% 0.86/1.22 maxlength = 115
% 0.86/1.22 maxnrvars = 195
% 0.86/1.22 excuselevel = 1
% 0.86/1.22 increasemaxweight = 1
% 0.86/1.22
% 0.86/1.22 maxselected = 10000000
% 0.86/1.22 maxnrclauses = 10000000
% 0.86/1.22
% 0.86/1.22 showgenerated = 0
% 0.86/1.22 showkept = 0
% 0.86/1.22 showselected = 0
% 0.86/1.22 showdeleted = 0
% 0.86/1.22 showresimp = 1
% 0.86/1.22 showstatus = 2000
% 0.86/1.22
% 0.86/1.22 prologoutput = 1
% 0.86/1.22 nrgoals = 5000000
% 0.86/1.22 totalproof = 1
% 0.86/1.22
% 0.86/1.22 Symbols occurring in the translation:
% 0.86/1.22
% 0.86/1.22 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.86/1.22 . [1, 2] (w:1, o:154, a:1, s:1, b:0),
% 0.86/1.22 ! [4, 1] (w:0, o:110, a:1, s:1, b:0),
% 0.86/1.22 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.86/1.22 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.86/1.22 'c_Lambda_OdB_OApp' [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.86/1.22 hAPP [41, 2] (w:1, o:179, a:1, s:1, b:0),
% 0.86/1.22 'tc_Lambda_OdB' [44, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.86/1.22 'c_List_Ofoldl' [45, 5] (w:1, o:219, a:1, s:1, b:0),
% 0.86/1.22 'c_List_Olist_ONil' [46, 1] (w:1, o:115, a:1, s:1, b:0),
% 0.86/1.22 'c_List_Olist_OCons' [47, 3] (w:1, o:193, a:1, s:1, b:0),
% 0.86/1.22 'c_List_Oappend' [48, 3] (w:1, o:194, a:1, s:1, b:0),
% 0.86/1.53 'c_ListOrder_Ostep1' [54, 2] (w:1, o:180, a:1, s:1, b:0),
% 0.86/1.53 'tc_List_Olist' [55, 1] (w:1, o:116, a:1, s:1, b:0),
% 0.86/1.53 'c_Wellfounded_Oaccp' [56, 2] (w:1, o:181, a:1, s:1, b:0),
% 0.86/1.53 hBOOL [58, 1] (w:1, o:117, a:1, s:1, b:0),
% 0.86/1.53 'c_List_Olistsp' [59, 3] (w:1, o:195, a:1, s:1, b:0),
% 0.86/1.53 'c_List_Oreplicate' [61, 3] (w:1, o:196, a:1, s:1, b:0),
% 0.86/1.53 'c_List_Orev' [62, 2] (w:1, o:182, a:1, s:1, b:0),
% 0.86/1.53 'tc_nat' [63, 0] (w:1, o:36, a:1, s:1, b:0),
% 0.86/1.53 'c_HOL_Oplus__class_Oplus' [64, 1] (w:1, o:119, a:1, s:1, b:0),
% 0.86/1.53 'c_HOL_Oord__class_Oless' [68, 3] (w:1, o:197, a:1, s:1, b:0),
% 0.86/1.53 'c_List_Omap' [75, 4] (w:1, o:215, a:1, s:1, b:0),
% 0.86/1.53 'c_List_Orotate1' [77, 2] (w:1, o:183, a:1, s:1, b:0),
% 0.86/1.53 'c_List_Otake' [78, 3] (w:1, o:198, a:1, s:1, b:0),
% 0.86/1.53 'c_InductTermi_OIT' [80, 0] (w:1, o:57, a:1, s:1, b:0),
% 0.86/1.53 'v_ua______' [81, 0] (w:1, o:58, a:1, s:1, b:0),
% 0.86/1.53 'class_Orderings_Opreorder' [82, 1] (w:1, o:122, a:1, s:1, b:0),
% 0.86/1.53 'class_Orderings_Oorder' [83, 1] (w:1, o:121, a:1, s:1, b:0),
% 0.86/1.53 'c_List_Olast' [84, 2] (w:1, o:184, a:1, s:1, b:0),
% 0.86/1.53 'c_HOL_Ozero__class_Ozero' [85, 1] (w:1, o:123, a:1, s:1, b:0),
% 0.86/1.53 'v_u____' [86, 0] (w:1, o:59, a:1, s:1, b:0),
% 0.86/1.53 'class_Ring__and__Field_Osemiring__1' [87, 1] (w:1, o:126, a:1, s:1
% 0.86/1.53 , b:0),
% 0.86/1.53 'c_Nat_Osemiring__1__class_Oof__nat__aux' [89, 4] (w:1, o:216, a:1
% 0.86/1.53 , s:1, b:0),
% 0.86/1.53 'c_Lambda_OdB_OVar' [90, 1] (w:1, o:127, a:1, s:1, b:0),
% 0.86/1.53 'c_Lambda_Osubstn' [91, 3] (w:1, o:199, a:1, s:1, b:0),
% 0.86/1.53 'class_Ring__and__Field_Oordered__semidom' [92, 1] (w:1, o:130, a:1
% 0.86/1.53 , s:1, b:0),
% 0.86/1.53 'c_HOL_Oone__class_Oone' [93, 1] (w:1, o:118, a:1, s:1, b:0),
% 0.86/1.53 'c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1' [94
% 0.86/1.53 , 4] (w:1, o:217, a:1, s:1, b:0),
% 0.86/1.53 'class_Orderings_Olinorder' [95, 1] (w:1, o:131, a:1, s:1, b:0),
% 0.86/1.53 'class_Ring__and__Field_Oordered__idom' [96, 1] (w:1, o:132, a:1, s:1
% 0.86/1.53 , b:0),
% 0.86/1.53 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [98, 1]
% 0.86/1.53 (w:1, o:133, a:1, s:1, b:0),
% 0.86/1.53 'c_Nat_Osemiring__1__class_Oof__nat' [103, 2] (w:1, o:185, a:1, s:1
% 0.86/1.53 , b:0),
% 0.86/1.53 'c_Type_Oshift' [106, 4] (w:1, o:218, a:1, s:1, b:0),
% 0.86/1.53 'c_ATP__Linkup_Osko__Nat__Xex__least__nat__less__1__1' [107, 2] (w:1
% 0.86/1.53 , o:186, a:1, s:1, b:0),
% 0.86/1.53 'c_Power_Opower__class_Opower' [108, 3] (w:1, o:201, a:1, s:1, b:0),
% 0.86/1.53
% 0.86/1.53 'c_Type_Otype_OFun' [112, 2] (w:1, o:187, a:1, s:1, b:0),
% 0.86/1.53 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [115, 1]
% 0.86/1.53 (w:1, o:134, a:1, s:1, b:0),
% 0.86/1.53 'c_List_Obutlast' [116, 2] (w:1, o:188, a:1, s:1, b:0),
% 0.86/1.53 'class_OrderedGroup_Olordered__ab__group__add' [117, 1] (w:1, o:135
% 0.86/1.53 , a:1, s:1, b:0),
% 0.86/1.53 'class_OrderedGroup_Opordered__comm__monoid__add' [118, 1] (w:1, o:
% 0.86/1.53 136, a:1, s:1, b:0),
% 0.86/1.53 'c_List_Osko__List__Xappend__eq__Cons__conv__1__1' [120, 5] (w:1, o:
% 0.86/1.53 220, a:1, s:1, b:0),
% 0.86/1.53 'c_List_Osko__List__XCons__eq__append__conv__1__1' [121, 5] (w:1, o:
% 0.86/1.53 221, a:1, s:1, b:0),
% 0.86/1.53 'c_Type_Otyping' [124, 3] (w:1, o:202, a:1, s:1, b:0),
% 0.86/1.53 'c_Lambda_Osubst' [125, 0] (w:1, o:77, a:1, s:1, b:0),
% 0.86/1.53 'c_Lambda_Olift' [126, 0] (w:1, o:78, a:1, s:1, b:0),
% 0.86/1.53 'c_Lambda_Oliftn' [127, 3] (w:1, o:203, a:1, s:1, b:0),
% 0.86/1.53 'c_Lambda_OdB_OAbs' [129, 1] (w:1, o:137, a:1, s:1, b:0),
% 0.86/1.53 'tc_Type_Otype' [130, 0] (w:1, o:79, a:1, s:1, b:0),
% 0.86/1.53 'v_e____' [131, 0] (w:1, o:80, a:1, s:1, b:0),
% 0.86/1.53 'v_T____' [132, 0] (w:1, o:81, a:1, s:1, b:0),
% 0.86/1.53 'v_ea______' [133, 0] (w:1, o:82, a:1, s:1, b:0),
% 0.86/1.53 'c_COMBC' [134, 5] (w:1, o:222, a:1, s:1, b:0),
% 0.86/1.53 'c_Type_Otypings' [136, 3] (w:1, o:204, a:1, s:1, b:0),
% 0.86/1.53 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__4' [140, 3] (w:1, o:206
% 0.86/1.53 , a:1, s:1, b:0),
% 0.86/1.53 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__5' [141, 3] (w:1, o:207
% 0.86/1.53 , a:1, s:1, b:0),
% 0.86/1.53 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2' [142, 3] (w:1, o:209
% 0.86/1.53 , a:1, s:1, b:0),
% 0.86/1.53 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1' [143, 3] (w:1, o:208
% 0.86/1.53 , a:1, s:1, b:0),
% 0.86/1.53 'c_Lambda_Obeta' [144, 0] (w:1, o:83, a:1, s:1, b:0),
% 8.23/8.67 'tc_fun' [145, 2] (w:1, o:189, a:1, s:1, b:0),
% 8.23/8.67 'c_Transitive__Closure_Ortranclp' [149, 2] (w:1, o:190, a:1, s:1, b:0
% 8.23/8.67 ),
% 8.23/8.67 'c_Predicate_Oconversep' [150, 3] (w:1, o:210, a:1, s:1, b:0),
% 8.23/8.67 'class_Ring__and__Field_Oidom' [152, 1] (w:1, o:138, a:1, s:1, b:0),
% 8.23/8.67
% 8.23/8.67 'class_Int_Onumber__ring' [153, 1] (w:1, o:139, a:1, s:1, b:0),
% 8.23/8.67 'class_OrderedGroup_Ocancel__ab__semigroup__add' [154, 1] (w:1, o:140
% 8.23/8.67 , a:1, s:1, b:0),
% 8.23/8.67 'class_OrderedGroup_Ocancel__semigroup__add' [155, 1] (w:1, o:141, a:
% 8.23/8.67 1, s:1, b:0),
% 8.23/8.67 'class_Ring__and__Field_Ocomm__semiring__1' [159, 1] (w:1, o:142, a:1
% 8.23/8.67 , s:1, b:0),
% 8.23/8.67 'c_OrderedGroup_Omonoid__add' [164, 3] (w:1, o:200, a:1, s:1, b:0),
% 8.23/8.67 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__3' [165, 3] (w:1, o:205
% 8.23/8.67 , a:1, s:1, b:0),
% 8.23/8.67 'class_Ring__and__Field_Ozero__neq__one' [166, 1] (w:1, o:143, a:1
% 8.23/8.67 , s:1, b:0),
% 8.23/8.67 'class_Ring__and__Field_Ono__zero__divisors' [167, 1] (w:1, o:129, a:
% 8.23/8.67 1, s:1, b:0),
% 8.23/8.67 'class_Ring__and__Field_Omult__zero' [168, 1] (w:1, o:128, a:1, s:1
% 8.23/8.67 , b:0),
% 8.23/8.67 'class_Power_Opower' [169, 1] (w:1, o:150, a:1, s:1, b:0),
% 8.23/8.67 'class_Ring__and__Field_Oring__1__no__zero__divisors' [170, 1] (w:1
% 8.23/8.67 , o:124, a:1, s:1, b:0),
% 8.23/8.67 'class_OrderedGroup_Ocomm__monoid__add' [171, 1] (w:1, o:144, a:1, s:
% 8.23/8.67 1, b:0),
% 8.23/8.67 'class_OrderedGroup_Omonoid__add' [172, 1] (w:1, o:145, a:1, s:1, b:0
% 8.23/8.67 ),
% 8.23/8.67 'class_Ring__and__Field_Osemiring__0' [173, 1] (w:1, o:125, a:1, s:1
% 8.23/8.67 , b:0),
% 8.23/8.67 't_a' [178, 0] (w:1, o:92, a:1, s:1, b:0),
% 8.23/8.67 'c_Lambda_OdB_OdB__case' [179, 5] (w:1, o:223, a:1, s:1, b:0),
% 8.23/8.67 'class_OrderedGroup_Omonoid__mult' [185, 1] (w:1, o:146, a:1, s:1, b:
% 8.23/8.67 0),
% 8.23/8.67 'class_OrderedGroup_Oab__group__add' [186, 1] (w:1, o:147, a:1, s:1
% 8.23/8.67 , b:0),
% 8.23/8.67 'class_OrderedGroup_Oab__semigroup__add' [189, 1] (w:1, o:148, a:1
% 8.23/8.67 , s:1, b:0),
% 8.23/8.67 'class_Nat_Osemiring__char__0' [192, 1] (w:1, o:120, a:1, s:1, b:0),
% 8.23/8.67
% 8.23/8.67 'c_fequal' [193, 1] (w:1, o:151, a:1, s:1, b:0),
% 8.23/8.67 'c_Lambda_OdB_OdB__rec' [194, 5] (w:1, o:224, a:1, s:1, b:0),
% 8.23/8.67 'c_OrderedGroup_Osemigroup__add' [195, 2] (w:1, o:191, a:1, s:1, b:0)
% 8.23/8.67 ,
% 8.23/8.67 'class_OrderedGroup_Osemigroup__add' [196, 1] (w:1, o:149, a:1, s:1
% 8.23/8.67 , b:0),
% 8.23/8.67 'v_a____' [200, 0] (w:1, o:97, a:1, s:1, b:0),
% 8.23/8.67 'c_Lambda_Osko__Lambda__Xbeta__cases__3__3' [202, 3] (w:1, o:213, a:1
% 8.23/8.67 , s:1, b:0),
% 8.23/8.67 'c_Lambda_Osko__Lambda__Xbeta__cases__3__2' [203, 3] (w:1, o:212, a:1
% 8.23/8.67 , s:1, b:0),
% 8.23/8.67 'c_Lambda_Osko__Lambda__Xbeta__cases__3__1' [204, 3] (w:1, o:211, a:1
% 8.23/8.67 , s:1, b:0),
% 8.23/8.67 'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1' [208, 3] (w:
% 8.23/8.67 1, o:214, a:1, s:1, b:0),
% 8.23/8.67 'c_ListApplication_Osko__ListApplication__Xex__head__tail__1__2' [209, 1
% 8.23/8.67 ] (w:1, o:153, a:1, s:1, b:0),
% 8.23/8.67 'c_ListApplication_Osko__ListApplication__Xex__head__tail__1__1' [210, 1
% 8.23/8.67 ] (w:1, o:152, a:1, s:1, b:0),
% 8.23/8.67 'v_ia______' [212, 0] (w:1, o:99, a:1, s:1, b:0),
% 8.23/8.67 'v_r____' [213, 0] (w:1, o:100, a:1, s:1, b:0),
% 8.23/8.67 'v_as____' [214, 0] (w:1, o:101, a:1, s:1, b:0),
% 8.23/8.67 'v_T_Ha______' [215, 0] (w:1, o:102, a:1, s:1, b:0),
% 8.23/8.67 'v_i____' [216, 0] (w:1, o:103, a:1, s:1, b:0),
% 8.23/8.67 'v_T_H____' [217, 0] (w:1, o:104, a:1, s:1, b:0),
% 8.23/8.67 'c_Lambda_Osko__Lambda__Xbeta__cases__2__1' [219, 2] (w:1, o:192, a:1
% 8.23/8.67 , s:1, b:0),
% 8.23/8.67 'tc_bool' [222, 0] (w:1, o:107, a:1, s:1, b:0).
% 8.23/8.67
% 8.23/8.67
% 8.23/8.67 Starting Search:
% 8.23/8.67
% 8.23/8.67 Resimplifying inuse:
% 8.23/8.67 Done
% 8.23/8.67
% 8.23/8.67
% 8.23/8.67 Intermediate Status:
% 8.23/8.67 Generated: 4377
% 8.23/8.67 Kept: 2065
% 8.23/8.67 Inuse: 120
% 8.23/8.67 Deleted: 3
% 8.23/8.67 Deletedinuse: 0
% 8.23/8.67
% 8.23/8.67 Resimplifying inuse:
% 8.23/8.67 Done
% 8.23/8.67
% 8.23/8.67 Resimplifying inuse:
% 8.23/8.67 Done
% 8.23/8.67
% 8.23/8.67
% 8.23/8.67 Intermediate Status:
% 8.23/8.67 Generated: 15071
% 8.23/8.67 Kept: 4211
% 8.23/8.67 Inuse: 165
% 8.23/8.67 Deleted: 6
% 8.23/8.67 Deletedinuse: 0
% 8.23/8.67
% 8.23/8.67 Resimplifying inuse:
% 8.23/8.67 Done
% 8.23/8.67
% 8.23/8.67 Resimplifying inuse:
% 8.23/8.67 Done
% 8.23/8.67
% 8.23/8.67
% 8.23/8.67 Intermediate Status:
% 8.23/8.67 Generated: 23975
% 8.23/8.67 Kept: 6254
% 8.23/8.67 Inuse: 214
% 8.23/8.67 Deleted: 7
% 8.23/8.67 Deletedinuse: 0
% 8.23/8.67
% 8.23/8.67 Resimplifying inuse:
% 8.23/8.67 Done
% 8.23/8.67
% 8.23/8.67 Resimplifying inuse:
% 8.23/8.67 Done
% 8.23/8.67
% 8.23/8.67
% 8.23/8.67 Intermediate Status:
% 8.23/8.67 Generated: 34319
% 8.23/8.67 Kept: 8269
% 8.23/8.67 Inuse: 244
% 8.23/8.67 Deleted: 7
% 8.23/8.67 Deletedinuse: 0
% 25.26/25.69
% 25.26/25.69 Resimplifying inuse:
% 25.26/25.69 Done
% 25.26/25.69
% 25.26/25.69 Resimplifying inuse:
% 25.26/25.69 Done
% 25.26/25.69
% 25.26/25.69
% 25.26/25.69 Intermediate Status:
% 25.26/25.69 Generated: 42768
% 25.26/25.69 Kept: 10273
% 25.26/25.69 Inuse: 293
% 25.26/25.69 Deleted: 7
% 25.26/25.69 Deletedinuse: 0
% 25.26/25.69
% 25.26/25.69 Resimplifying inuse:
% 25.26/25.69 Done
% 25.26/25.69
% 25.26/25.69 Resimplifying inuse:
% 25.26/25.69 Done
% 25.26/25.69
% 25.26/25.69
% 25.26/25.69 Intermediate Status:
% 25.26/25.69 Generated: 52748
% 25.26/25.69 Kept: 12369
% 25.26/25.69 Inuse: 353
% 25.26/25.69 Deleted: 10
% 25.26/25.69 Deletedinuse: 2
% 25.26/25.69
% 25.26/25.69 Resimplifying inuse:
% 25.26/25.69 Done
% 25.26/25.69
% 25.26/25.69 Resimplifying inuse:
% 25.26/25.69 Done
% 25.26/25.69
% 25.26/25.69
% 25.26/25.69 Intermediate Status:
% 25.26/25.69 Generated: 63351
% 25.26/25.69 Kept: 14381
% 25.26/25.69 Inuse: 390
% 25.26/25.69 Deleted: 10
% 25.26/25.69 Deletedinuse: 2
% 25.26/25.69
% 25.26/25.69 Resimplifying inuse:
% 25.26/25.69 Done
% 25.26/25.69
% 25.26/25.69
% 25.26/25.69 Intermediate Status:
% 25.26/25.69 Generated: 75823
% 25.26/25.69 Kept: 16729
% 25.26/25.69 Inuse: 422
% 25.26/25.69 Deleted: 11
% 25.26/25.69 Deletedinuse: 2
% 25.26/25.69
% 25.26/25.69 Resimplifying inuse:
% 25.26/25.69 Done
% 25.26/25.69
% 25.26/25.69 Resimplifying inuse:
% 25.26/25.69 Done
% 25.26/25.69
% 25.26/25.69
% 25.26/25.69 Intermediate Status:
% 25.26/25.69 Generated: 90668
% 25.26/25.69 Kept: 19159
% 25.26/25.69 Inuse: 447
% 25.26/25.69 Deleted: 12
% 25.26/25.69 Deletedinuse: 3
% 25.26/25.69
% 25.26/25.69 Resimplifying inuse:
% 25.26/25.69 Done
% 25.26/25.69
% 25.26/25.69 Resimplifying clauses:
% 25.26/25.69 Done
% 25.26/25.69
% 25.26/25.69 Resimplifying inuse:
% 25.26/25.69 Done
% 25.26/25.69
% 25.26/25.69
% 25.26/25.69 Intermediate Status:
% 25.26/25.69 Generated: 104400
% 25.26/25.69 Kept: 21175
% 25.26/25.69 Inuse: 476
% 25.26/25.69 Deleted: 185
% 25.26/25.69 Deletedinuse: 3
% 25.26/25.69
% 25.26/25.69 Resimplifying inuse:
% 25.26/25.69 Done
% 25.26/25.69
% 25.26/25.69 Resimplifying inuse:
% 25.26/25.69 Done
% 25.26/25.69
% 25.26/25.69
% 25.26/25.69 Intermediate Status:
% 25.26/25.69 Generated: 116388
% 25.26/25.69 Kept: 23190
% 25.26/25.69 Inuse: 504
% 25.26/25.69 Deleted: 185
% 25.26/25.69 Deletedinuse: 3
% 25.26/25.69
% 25.26/25.69 Resimplifying inuse:
% 25.26/25.69 Done
% 25.26/25.69
% 25.26/25.69
% 25.26/25.69 Intermediate Status:
% 25.26/25.69 Generated: 128843
% 25.26/25.69 Kept: 25355
% 25.26/25.69 Inuse: 521
% 25.26/25.69 Deleted: 185
% 25.26/25.69 Deletedinuse: 3
% 25.26/25.69
% 25.26/25.69 Resimplifying inuse:
% 25.26/25.69 Done
% 25.26/25.69
% 25.26/25.69 Resimplifying inuse:
% 25.26/25.69 Done
% 25.26/25.69
% 25.26/25.69
% 25.26/25.69 Intermediate Status:
% 25.26/25.69 Generated: 140078
% 25.26/25.69 Kept: 27371
% 25.26/25.69 Inuse: 550
% 25.26/25.69 Deleted: 185
% 25.26/25.69 Deletedinuse: 3
% 25.26/25.69
% 25.26/25.69 Resimplifying inuse:
% 25.26/25.69 Done
% 25.26/25.69
% 25.26/25.69 Resimplifying inuse:
% 25.26/25.69 Done
% 25.26/25.69
% 25.26/25.69
% 25.26/25.69 Intermediate Status:
% 25.26/25.69 Generated: 148837
% 25.26/25.69 Kept: 29375
% 25.26/25.69 Inuse: 577
% 25.26/25.69 Deleted: 187
% 25.26/25.69 Deletedinuse: 4
% 25.26/25.69
% 25.26/25.69 Resimplifying inuse:
% 25.26/25.69 Done
% 25.26/25.69
% 25.26/25.69 Resimplifying inuse:
% 25.26/25.69 Done
% 25.26/25.69
% 25.26/25.69
% 25.26/25.69 Intermediate Status:
% 25.26/25.69 Generated: 160153
% 25.26/25.69 Kept: 31734
% 25.26/25.69 Inuse: 610
% 25.26/25.69 Deleted: 187
% 25.26/25.69 Deletedinuse: 4
% 25.26/25.69
% 25.26/25.69 Resimplifying inuse:
% 25.26/25.69 Done
% 25.26/25.69
% 25.26/25.69 Resimplifying inuse:
% 25.26/25.69 Done
% 25.26/25.69
% 25.26/25.69
% 25.26/25.69 Intermediate Status:
% 25.26/25.69 Generated: 169565
% 25.26/25.69 Kept: 33796
% 25.26/25.69 Inuse: 630
% 25.26/25.69 Deleted: 187
% 25.26/25.69 Deletedinuse: 4
% 25.26/25.69
% 25.26/25.69 Resimplifying inuse:
% 25.26/25.69 Done
% 25.26/25.69
% 25.26/25.69 Resimplifying inuse:
% 25.26/25.69 Done
% 25.26/25.69
% 25.26/25.69
% 25.26/25.69 Intermediate Status:
% 25.26/25.69 Generated: 187085
% 25.26/25.69 Kept: 36437
% 25.26/25.69 Inuse: 675
% 25.26/25.69 Deleted: 187
% 25.26/25.69 Deletedinuse: 4
% 25.26/25.69
% 25.26/25.69 Resimplifying inuse:
% 25.26/25.69 Done
% 25.26/25.69
% 25.26/25.69 Resimplifying inuse:
% 25.26/25.69 Done
% 25.26/25.69
% 25.26/25.69
% 25.26/25.69 Intermediate Status:
% 25.26/25.69 Generated: 211960
% 25.26/25.69 Kept: 39060
% 25.26/25.69 Inuse: 690
% 25.26/25.69 Deleted: 187
% 25.26/25.69 Deletedinuse: 4
% 25.26/25.69
% 25.26/25.69 Resimplifying inuse:
% 25.26/25.69 Done
% 25.26/25.69
% 25.26/25.69 Resimplifying clauses:
% 25.26/25.69 Done
% 25.26/25.69
% 25.26/25.69
% 25.26/25.69 Intermediate Status:
% 25.26/25.69 Generated: 238035
% 25.26/25.69 Kept: 42425
% 25.26/25.69 Inuse: 705
% 25.26/25.69 Deleted: 501
% 25.26/25.69 Deletedinuse: 4
% 25.26/25.69
% 25.26/25.69 Resimplifying inuse:
% 25.26/25.69 Done
% 25.26/25.69
% 25.26/25.69 Resimplifying inuse:
% 25.26/25.69 Done
% 25.26/25.69
% 25.26/25.69
% 25.26/25.69 Intermediate Status:
% 25.26/25.69 Generated: 258708
% 25.26/25.69 Kept: 45020
% 25.26/25.69 Inuse: 738
% 25.26/25.69 Deleted: 503
% 25.26/25.69 Deletedinuse: 4
% 25.26/25.69
% 25.26/25.69 Resimplifying inuse:
% 25.26/25.69 Done
% 25.26/25.69
% 25.26/25.69 Resimplifying inuse:
% 25.26/25.69 Done
% 25.26/25.69
% 25.26/25.69
% 25.26/25.69 Intermediate Status:
% 25.26/25.69 Generated: 269735
% 25.26/25.69 Kept: 47050
% 25.26/25.69 Inuse: 751
% 25.26/25.69 Deleted: 505
% 25.26/25.69 Deletedinuse: 5
% 25.26/25.69
% 25.26/25.69 Resimplifying inuse:
% 25.26/25.69 Done
% 25.26/25.69
% 25.26/25.69 Resimplifying inuse:
% 25.26/25.69 Done
% 25.26/25.69
% 25.26/25.69
% 25.26/25.69 Intermediate Status:
% 25.26/25.69 Generated: 281759
% 25.26/25.69 Kept: 49114
% 25.26/25.69 Inuse: 772
% 25.26/25.69 Deleted: 505
% 25.26/25.69 Deletedinuse: 5
% 25.26/25.69
% 25.26/25.69 Resimplifying inuse:
% 25.26/25.69 Done
% 25.26/25.69
% 25.26/25.69
% 25.26/25.69 Intermediate Status:
% 25.26/25.69 Generated: 291335
% 25.26/25.69 Kept: 51164
% 25.26/25.69 Inuse: 787
% 25.26/25.69 Deleted: 505
% 25.26/25.69 Deletedinuse: 5
% 25.26/25.69
% 25.26/25.69 Resimplifying inuse:
% 25.26/25.69 Done
% 25.26/25.69
% 25.26/25.69 Resimplifying inuse:
% 25.26/25.69 Done
% 25.26/25.69
% 25.26/25.69
% 25.26/25.69 Intermediate Status:
% 25.26/25.69 Generated: 305649
% 25.26/25.69 Kept: 53593
% 25.26/25.69 Inuse: 802
% 25.26/25.69 Deleted: 505
% 25.26/25.69 Deletedinuse: 5
% 25.26/25.69
% 25.26/25.69 Resimplifying inuse:
% 25.26/25.69 Done
% 25.26/25.69
% 25.26/25.69 Resimplifying inuse:
% 25.26/25.69 Done
% 25.26/25.69
% 25.26/25.69
% 25.26/25.69 Intermediate Status:
% 25.26/25.69 Generated: 320049
% 25.26/25.69 Kept: 55620
% 25.26/25.69 Inuse: 827
% 25.26/25.69 Deleted: 505
% 25.26/25.69 Deletedinuse: 5
% 25.26/25.69
% 25.26/25.69 Resimplifying inuse:
% 25.26/25.69 Done
% 25.26/25.69
% 25.26/25.69 Resimplifying inuse:
% 25.26/25.69 Done
% 25.26/25.69
% 25.26/25.69
% 25.26/25.69 Intermediate Status:
% 25.26/25.69 Generated: 331389
% 25.26/25.69 Kept: 57704
% 25.26/25.69 Inuse: 842
% 25.26/25.69 Deleted: 508
% 25.26/25.69 Deletedinuse: 8
% 25.26/25.69
% 25.26/25.69 Resimplifying inuse:
% 25.26/25.69 Done
% 25.26/25.69
% 25.26/25.69 Resimplifying inuse:
% 25.26/25.69 Done
% 25.26/25.69
% 25.26/25.69
% 25.26/25.69 Intermediate Status:
% 25.26/25.69 Generated: 346885
% 25.26/25.69 Kept: 59750
% 25.26/25.69 Inuse: 872
% 25.26/25.69 Deleted: 508
% 25.26/25.69 Deletedinuse: 8
% 25.26/25.69
% 25.26/25.69 Resimplifying inuse:
% 25.26/25.69 Done
% 25.26/25.69
% 25.26/25.69 Resimplifying clauses:
% 25.26/25.69 Done
% 25.26/25.69
% 25.26/25.69 Resimplifying inuse:
% 25.26/25.69 Done
% 25.26/25.69
% 25.26/25.69
% 25.26/25.69 Intermediate Status:
% 25.26/25.69 Generated: 357828
% 25.26/25.69 Kept: 62053
% 25.26/25.69 Inuse: 892
% 25.26/25.69 Deleted: 732
% 25.26/25.69 Deletedinuse: 8
% 25.26/25.69
% 25.26/25.69 Resimplifying inuse:
% 25.26/25.69 Done
% 25.26/25.69
% 25.26/25.69
% 25.26/25.69 Intermediate Status:
% 47.63/48.05 Generated: 393367
% 47.63/48.05 Kept: 65698
% 47.63/48.05 Inuse: 897
% 47.63/48.05 Deleted: 732
% 47.63/48.05 Deletedinuse: 8
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05
% 47.63/48.05 Intermediate Status:
% 47.63/48.05 Generated: 408269
% 47.63/48.05 Kept: 67865
% 47.63/48.05 Inuse: 907
% 47.63/48.05 Deleted: 732
% 47.63/48.05 Deletedinuse: 8
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05
% 47.63/48.05 Intermediate Status:
% 47.63/48.05 Generated: 419601
% 47.63/48.05 Kept: 69867
% 47.63/48.05 Inuse: 913
% 47.63/48.05 Deleted: 733
% 47.63/48.05 Deletedinuse: 9
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05
% 47.63/48.05 Intermediate Status:
% 47.63/48.05 Generated: 431872
% 47.63/48.05 Kept: 71960
% 47.63/48.05 Inuse: 932
% 47.63/48.05 Deleted: 733
% 47.63/48.05 Deletedinuse: 9
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05
% 47.63/48.05 Intermediate Status:
% 47.63/48.05 Generated: 466452
% 47.63/48.05 Kept: 75015
% 47.63/48.05 Inuse: 962
% 47.63/48.05 Deleted: 733
% 47.63/48.05 Deletedinuse: 9
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05
% 47.63/48.05 Intermediate Status:
% 47.63/48.05 Generated: 474488
% 47.63/48.05 Kept: 77054
% 47.63/48.05 Inuse: 969
% 47.63/48.05 Deleted: 733
% 47.63/48.05 Deletedinuse: 9
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05
% 47.63/48.05 Intermediate Status:
% 47.63/48.05 Generated: 483196
% 47.63/48.05 Kept: 79054
% 47.63/48.05 Inuse: 979
% 47.63/48.05 Deleted: 733
% 47.63/48.05 Deletedinuse: 9
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05
% 47.63/48.05 Intermediate Status:
% 47.63/48.05 Generated: 492026
% 47.63/48.05 Kept: 81347
% 47.63/48.05 Inuse: 987
% 47.63/48.05 Deleted: 733
% 47.63/48.05 Deletedinuse: 9
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05 Resimplifying clauses:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05
% 47.63/48.05 Intermediate Status:
% 47.63/48.05 Generated: 501651
% 47.63/48.05 Kept: 83368
% 47.63/48.05 Inuse: 1000
% 47.63/48.05 Deleted: 1096
% 47.63/48.05 Deletedinuse: 9
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05
% 47.63/48.05 Intermediate Status:
% 47.63/48.05 Generated: 516349
% 47.63/48.05 Kept: 86559
% 47.63/48.05 Inuse: 1007
% 47.63/48.05 Deleted: 1096
% 47.63/48.05 Deletedinuse: 9
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05
% 47.63/48.05 Intermediate Status:
% 47.63/48.05 Generated: 547925
% 47.63/48.05 Kept: 88765
% 47.63/48.05 Inuse: 1032
% 47.63/48.05 Deleted: 1096
% 47.63/48.05 Deletedinuse: 9
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05
% 47.63/48.05 Intermediate Status:
% 47.63/48.05 Generated: 564750
% 47.63/48.05 Kept: 91966
% 47.63/48.05 Inuse: 1052
% 47.63/48.05 Deleted: 1096
% 47.63/48.05 Deletedinuse: 9
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05
% 47.63/48.05 Intermediate Status:
% 47.63/48.05 Generated: 572511
% 47.63/48.05 Kept: 93966
% 47.63/48.05 Inuse: 1059
% 47.63/48.05 Deleted: 1096
% 47.63/48.05 Deletedinuse: 9
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05
% 47.63/48.05 Intermediate Status:
% 47.63/48.05 Generated: 597453
% 47.63/48.05 Kept: 97227
% 47.63/48.05 Inuse: 1067
% 47.63/48.05 Deleted: 1096
% 47.63/48.05 Deletedinuse: 9
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05
% 47.63/48.05 Intermediate Status:
% 47.63/48.05 Generated: 605448
% 47.63/48.05 Kept: 99236
% 47.63/48.05 Inuse: 1082
% 47.63/48.05 Deleted: 1096
% 47.63/48.05 Deletedinuse: 9
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05
% 47.63/48.05 Intermediate Status:
% 47.63/48.05 Generated: 636060
% 47.63/48.05 Kept: 101335
% 47.63/48.05 Inuse: 1107
% 47.63/48.05 Deleted: 1096
% 47.63/48.05 Deletedinuse: 9
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05 Resimplifying clauses:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05
% 47.63/48.05 Intermediate Status:
% 47.63/48.05 Generated: 645030
% 47.63/48.05 Kept: 103344
% 47.63/48.05 Inuse: 1124
% 47.63/48.05 Deleted: 1377
% 47.63/48.05 Deletedinuse: 12
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05
% 47.63/48.05 Intermediate Status:
% 47.63/48.05 Generated: 660683
% 47.63/48.05 Kept: 106477
% 47.63/48.05 Inuse: 1135
% 47.63/48.05 Deleted: 1377
% 47.63/48.05 Deletedinuse: 12
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05
% 47.63/48.05 Intermediate Status:
% 47.63/48.05 Generated: 671040
% 47.63/48.05 Kept: 108847
% 47.63/48.05 Inuse: 1156
% 47.63/48.05 Deleted: 1377
% 47.63/48.05 Deletedinuse: 12
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05
% 47.63/48.05 Intermediate Status:
% 47.63/48.05 Generated: 683235
% 47.63/48.05 Kept: 111729
% 47.63/48.05 Inuse: 1171
% 47.63/48.05 Deleted: 1377
% 47.63/48.05 Deletedinuse: 12
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05
% 47.63/48.05 Intermediate Status:
% 47.63/48.05 Generated: 693243
% 47.63/48.05 Kept: 114409
% 47.63/48.05 Inuse: 1191
% 47.63/48.05 Deleted: 1377
% 47.63/48.05 Deletedinuse: 12
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05
% 47.63/48.05 Intermediate Status:
% 47.63/48.05 Generated: 707854
% 47.63/48.05 Kept: 117093
% 47.63/48.05 Inuse: 1211
% 47.63/48.05 Deleted: 1377
% 47.63/48.05 Deletedinuse: 12
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05
% 47.63/48.05 Intermediate Status:
% 47.63/48.05 Generated: 728114
% 47.63/48.05 Kept: 119815
% 47.63/48.05 Inuse: 1221
% 47.63/48.05 Deleted: 1377
% 47.63/48.05 Deletedinuse: 12
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05 Resimplifying clauses:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05
% 47.63/48.05 Intermediate Status:
% 47.63/48.05 Generated: 741337
% 47.63/48.05 Kept: 121835
% 47.63/48.05 Inuse: 1228
% 47.63/48.05 Deleted: 1570
% 47.63/48.05 Deletedinuse: 12
% 47.63/48.05
% 47.63/48.05
% 47.63/48.05 Intermediate Status:
% 47.63/48.05 Generated: 752638
% 47.63/48.05 Kept: 123915
% 47.63/48.05 Inuse: 1236
% 47.63/48.05 Deleted: 1570
% 47.63/48.05 Deletedinuse: 12
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05
% 47.63/48.05 Intermediate Status:
% 47.63/48.05 Generated: 763723
% 47.63/48.05 Kept: 125965
% 47.63/48.05 Inuse: 1256
% 47.63/48.05 Deleted: 1570
% 47.63/48.05 Deletedinuse: 12
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05
% 47.63/48.05 Intermediate Status:
% 47.63/48.05 Generated: 792258
% 47.63/48.05 Kept: 129989
% 47.63/48.05 Inuse: 1270
% 47.63/48.05 Deleted: 1571
% 47.63/48.05 Deletedinuse: 13
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05
% 47.63/48.05 Intermediate Status:
% 47.63/48.05 Generated: 799887
% 47.63/48.05 Kept: 132975
% 47.63/48.05 Inuse: 1281
% 47.63/48.05 Deleted: 1752
% 47.63/48.05 Deletedinuse: 194
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05
% 47.63/48.05 Intermediate Status:
% 47.63/48.05 Generated: 811274
% 47.63/48.05 Kept: 135550
% 47.63/48.05 Inuse: 1296
% 47.63/48.05 Deleted: 1752
% 47.63/48.05 Deletedinuse: 194
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05
% 47.63/48.05 Intermediate Status:
% 47.63/48.05 Generated: 827439
% 47.63/48.05 Kept: 138724
% 47.63/48.05 Inuse: 1306
% 47.63/48.05 Deleted: 1752
% 47.63/48.05 Deletedinuse: 194
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05
% 47.63/48.05 Intermediate Status:
% 47.63/48.05 Generated: 837790
% 47.63/48.05 Kept: 141437
% 47.63/48.05 Inuse: 1321
% 47.63/48.05 Deleted: 1753
% 47.63/48.05 Deletedinuse: 195
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05 Resimplifying clauses:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05
% 47.63/48.05 Intermediate Status:
% 47.63/48.05 Generated: 846946
% 47.63/48.05 Kept: 143454
% 47.63/48.05 Inuse: 1332
% 47.63/48.05 Deleted: 10578
% 47.63/48.05 Deletedinuse: 195
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05
% 47.63/48.05 Intermediate Status:
% 47.63/48.05 Generated: 855435
% 47.63/48.05 Kept: 145827
% 47.63/48.05 Inuse: 1346
% 47.63/48.05 Deleted: 10578
% 47.63/48.05 Deletedinuse: 195
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05
% 47.63/48.05 Intermediate Status:
% 47.63/48.05 Generated: 886234
% 47.63/48.05 Kept: 149448
% 47.63/48.05 Inuse: 1356
% 47.63/48.05 Deleted: 10578
% 47.63/48.05 Deletedinuse: 195
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05
% 47.63/48.05 Intermediate Status:
% 47.63/48.05 Generated: 894983
% 47.63/48.05 Kept: 151497
% 47.63/48.05 Inuse: 1361
% 47.63/48.05 Deleted: 10578
% 47.63/48.05 Deletedinuse: 195
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05
% 47.63/48.05 Intermediate Status:
% 47.63/48.05 Generated: 903007
% 47.63/48.05 Kept: 154090
% 47.63/48.05 Inuse: 1371
% 47.63/48.05 Deleted: 10578
% 47.63/48.05 Deletedinuse: 195
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05
% 47.63/48.05 Intermediate Status:
% 47.63/48.05 Generated: 921110
% 47.63/48.05 Kept: 156109
% 47.63/48.05 Inuse: 1387
% 47.63/48.05 Deleted: 10578
% 47.63/48.05 Deletedinuse: 195
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05
% 47.63/48.05 Intermediate Status:
% 47.63/48.05 Generated: 929747
% 47.63/48.05 Kept: 158253
% 47.63/48.05 Inuse: 1396
% 47.63/48.05 Deleted: 10578
% 47.63/48.05 Deletedinuse: 195
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05
% 47.63/48.05 Intermediate Status:
% 47.63/48.05 Generated: 939802
% 47.63/48.05 Kept: 160413
% 47.63/48.05 Inuse: 1401
% 47.63/48.05 Deleted: 10578
% 47.63/48.05 Deletedinuse: 195
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05
% 47.63/48.05 Intermediate Status:
% 47.63/48.05 Generated: 949170
% 47.63/48.05 Kept: 162425
% 47.63/48.05 Inuse: 1415
% 47.63/48.05 Deleted: 10578
% 47.63/48.05 Deletedinuse: 195
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05 Resimplifying clauses:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05
% 47.63/48.05 Intermediate Status:
% 47.63/48.05 Generated: 968273
% 47.63/48.05 Kept: 165601
% 47.63/48.05 Inuse: 1431
% 47.63/48.05 Deleted: 10858
% 47.63/48.05 Deletedinuse: 196
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05
% 47.63/48.05 Intermediate Status:
% 47.63/48.05 Generated: 986508
% 47.63/48.05 Kept: 167941
% 47.63/48.05 Inuse: 1437
% 47.63/48.05 Deleted: 10858
% 47.63/48.05 Deletedinuse: 196
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05
% 47.63/48.05 Intermediate Status:
% 47.63/48.05 Generated: 1005010
% 47.63/48.05 Kept: 170044
% 47.63/48.05 Inuse: 1443
% 47.63/48.05 Deleted: 10858
% 47.63/48.05 Deletedinuse: 196
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05
% 47.63/48.05 Intermediate Status:
% 47.63/48.05 Generated: 1022407
% 47.63/48.05 Kept: 172462
% 47.63/48.05 Inuse: 1447
% 47.63/48.05 Deleted: 10858
% 47.63/48.05 Deletedinuse: 196
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05
% 47.63/48.05 Intermediate Status:
% 47.63/48.05 Generated: 1042192
% 47.63/48.05 Kept: 174464
% 47.63/48.05 Inuse: 1456
% 47.63/48.05 Deleted: 10858
% 47.63/48.05 Deletedinuse: 196
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05
% 47.63/48.05 Intermediate Status:
% 47.63/48.05 Generated: 1051562
% 47.63/48.05 Kept: 176626
% 47.63/48.05 Inuse: 1466
% 47.63/48.05 Deleted: 10858
% 47.63/48.05 Deletedinuse: 196
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05
% 47.63/48.05 Intermediate Status:
% 47.63/48.05 Generated: 1072446
% 47.63/48.05 Kept: 179400
% 47.63/48.05 Inuse: 1476
% 47.63/48.05 Deleted: 10858
% 47.63/48.05 Deletedinuse: 196
% 47.63/48.05
% 47.63/48.05 Resimplifying inuse:
% 47.63/48.05 Done
% 47.63/48.05
% 47.63/48.05
% 47.63/48.05 Bliksems!, er is een bewijs:
% 47.63/48.05 % SZS status Unsatisfiable
% 47.63/48.05 % SZS output start Refutation
% 47.63/48.05
% 47.63/48.05 clause( 335, [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ),
% 47.63/48.05 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_Lambda_Osubstn'( X, Y,
% 47.63/48.05 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ] )
% 47.63/48.05 .
% 47.63/48.05 clause( 361, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP(
% 47.63/48.05 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y ) ),
% 47.63/48.05 'c_Lambda_Osubstn'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ]
% 47.63/48.05 )
% 47.63/48.05 .
% 47.63/48.05 clause( 362, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 47.63/48.05 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ),
% 47.63/48.05 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, Y, 'tc_Lambda_OdB',
% 47.63/48.05 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ), Z ) )
% 47.63/48.05 ) ] )
% 47.63/48.05 .
% 47.63/48.05 clause( 369, [ ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 47.63/48.05 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'(
% 47.63/48.05 'v_r____' ) ), 'v_a____' ), 'v_as____', 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 47.63/48.05 ) ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_Osubstn'( 'v_r____'
% 47.63/48.05 , 'v_a____', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'v_as____',
% 47.63/48.05 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ) ] )
% 47.63/48.05 .
% 47.63/48.05 clause( 181171, [] )
% 47.63/48.05 .
% 47.63/48.05
% 47.63/48.05
% 47.63/48.05 % SZS output end Refutation
% 47.63/48.05 found a proof!
% 47.63/48.05
% 47.63/48.05 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 47.63/48.05
% 47.63/48.05 initialclauses(
% 47.63/48.05 [ clause( 181173, [ ~( =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP(
% 47.63/48.05 hAPP( 'c_Lambda_OdB_OApp', X ), Y ), Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 47.63/48.05 ) ) ), =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 47.63/48.05 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 47.63/48.05 'c_List_Oappend'( Z, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'(
% 47.63/48.05 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB'
% 47.63/48.05 , 'tc_Lambda_OdB' ) ) ] )
% 47.63/48.05 , clause( 181174, [ =( hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_List_Ofoldl'(
% 47.63/48.05 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ),
% 47.63/48.05 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, 'c_List_Oappend'( Y,
% 47.63/48.05 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 47.63/48.05 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' )
% 47.63/48.05 ) ] )
% 47.63/48.05 , clause( 181175, [ =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 47.63/48.05 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ),
% 47.63/48.05 'tc_Lambda_OdB' ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ), =( hAPP(
% 47.63/48.05 hAPP( 'c_Lambda_OdB_OApp', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, X,
% 47.63/48.05 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Y ), 'c_List_Ofoldl'(
% 47.63/48.05 'c_Lambda_OdB_OApp', Z, 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 47.63/48.05 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ),
% 47.63/48.05 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ] )
% 47.63/48.05 , clause( 181176, [ hBOOL( hAPP( 'c_Wellfounded_Oaccp'(
% 47.63/48.05 'c_ListOrder_Ostep1'( X, Y ), 'tc_List_Olist'( Y ) ), Z ) ), ~(
% 47.63/48.05 'c_List_Olistsp'( 'c_Wellfounded_Oaccp'( X, Y ), Z, Y ) ) ] )
% 47.63/48.05 , clause( 181177, [ =( 'c_List_Orev'( 'c_List_Oreplicate'( X, Y, Z ), Z ),
% 47.63/48.05 'c_List_Oreplicate'( X, Y, Z ) ) ] )
% 47.63/48.05 , clause( 181178, [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat'
% 47.63/48.05 ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T
% 47.63/48.05 ) ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ),
% 47.63/48.05 'c_HOL_Oord__class_Oless'( X, T, 'tc_nat' ) ] )
% 47.63/48.05 , clause( 181179, [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP(
% 47.63/48.05 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~(
% 47.63/48.05 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ] )
% 47.63/48.05 , clause( 181180, [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP(
% 47.63/48.05 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~(
% 47.63/48.05 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ] )
% 47.63/48.05 , clause( 181181, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 47.63/48.05 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 47.63/48.05 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ) ] )
% 47.63/48.05 , clause( 181182, [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP(
% 47.63/48.05 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~(
% 47.63/48.05 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ] )
% 47.63/48.05 , clause( 181183, [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP(
% 47.63/48.05 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~(
% 47.63/48.05 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ] )
% 47.63/48.05 , clause( 181184, [ =( 'c_List_Omap'( X, 'c_List_Oreplicate'( Y, Z, T ), T
% 47.63/48.05 , U ), 'c_List_Oreplicate'( Y, hAPP( X, Z ), U ) ) ] )
% 47.63/48.05 , clause( 181185, [ =( 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ), X ) ] )
% 47.63/48.05 , clause( 181186, [ =( 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ), X ) ] )
% 47.63/48.05 , clause( 181187, [ =( X, 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ) ) ] )
% 47.63/48.05 , clause( 181188, [ ~( =( 'c_List_Orotate1'( X, Y ), 'c_List_Olist_ONil'( Y
% 47.63/48.05 ) ) ), =( X, 'c_List_Olist_ONil'( Y ) ) ] )
% 47.63/48.05 , clause( 181189, [ =( 'c_List_Otake'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 47.63/48.05 'c_List_Olist_ONil'( Y ) ) ] )
% 47.63/48.05 , clause( 181190, [ ~( =( 'c_List_Oreplicate'( X, Y, Z ),
% 47.63/48.05 'c_List_Oreplicate'( T, U, Z ) ) ), =( X, T ) ] )
% 47.63/48.05 , clause( 181191, [ 'c_List_Olistsp'( X, 'c_List_Olist_ONil'( Y ), Y ) ] )
% 47.63/48.05 , clause( 181192, [ =( 'c_List_Orev'( 'c_List_Omap'( X, Y, Z, T ), T ),
% 47.63/48.05 'c_List_Omap'( X, 'c_List_Orev'( Y, Z ), Z, T ) ) ] )
% 47.63/48.05 , clause( 181193, [ 'c_List_Olistsp'( X, Y, Z ), ~( 'c_List_Olistsp'( X,
% 47.63/48.05 'c_List_Oappend'( T, Y, Z ), Z ) ) ] )
% 47.63/48.05 , clause( 181194, [ 'c_List_Olistsp'( X, Y, Z ), ~( 'c_List_Olistsp'( X,
% 47.63/48.05 'c_List_Oappend'( Y, T, Z ), Z ) ) ] )
% 47.63/48.05 , clause( 181195, [ =( 'c_List_Orotate1'( 'c_List_Olist_ONil'( X ), X ),
% 47.63/48.05 'c_List_Olist_ONil'( X ) ) ] )
% 47.63/48.05 , clause( 181196, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_ua______' ) ) ] )
% 47.63/48.05 , clause( 181197, [ =( 'c_List_Otake'( X, 'c_List_Omap'( Y, Z, T, U ), U )
% 47.63/48.05 , 'c_List_Omap'( Y, 'c_List_Otake'( X, Z, T ), T, U ) ) ] )
% 47.63/48.05 , clause( 181198, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 47.63/48.05 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 47.63/48.05 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 47.63/48.05 , clause( 181199, [ ~( 'class_Orderings_Oorder'( X ) ),
% 47.63/48.05 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 47.63/48.05 , X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 47.63/48.05 , clause( 181200, [ =( 'c_List_Olast'( 'c_List_Oreplicate'( X, Y, Z ), Z )
% 47.63/48.05 , Y ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 47.63/48.05 , clause( 181201, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_u____' ) ) ] )
% 47.63/48.05 , clause( 181202, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_ONil'( Y ) )
% 47.63/48.05 ), =( X, 'c_List_Olist_ONil'( Y ) ) ] )
% 47.63/48.05 , clause( 181203, [ =( 'c_List_Orev'( 'c_List_Olist_ONil'( X ), X ),
% 47.63/48.05 'c_List_Olist_ONil'( X ) ) ] )
% 47.63/48.05 , clause( 181204, [ =( 'c_List_Orev'( 'c_List_Oappend'( X, Y, Z ), Z ),
% 47.63/48.05 'c_List_Oappend'( 'c_List_Orev'( Y, Z ), 'c_List_Orev'( X, Z ), Z ) ) ]
% 47.63/48.05 )
% 47.63/48.05 , clause( 181205, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 47.63/48.05 'c_Nat_Osemiring__1__class_Oof__nat__aux'( Y, 'c_HOL_Ozero__class_Ozero'(
% 47.63/48.05 'tc_nat' ), Z, X ), Z ) ] )
% 47.63/48.05 , clause( 181206, [ ~( 'c_HOL_Oord__class_Oless'(
% 47.63/48.05 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 47.63/48.05 'tc_nat' ), 'tc_nat' ) ) ] )
% 47.63/48.05 , clause( 181207, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 47.63/48.05 'tc_nat' ), X, 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 47.63/48.05 ] )
% 47.63/48.05 , clause( 181208, [ ~( 'c_HOL_Oord__class_Oless'( X,
% 47.63/48.05 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ] )
% 47.63/48.05 , clause( 181209, [ ~( 'c_HOL_Oord__class_Oless'( X,
% 47.63/48.05 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ] )
% 47.63/48.05 , clause( 181210, [ =( 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'(
% 47.63/48.05 'tc_nat' ), X, Y ), 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'(
% 47.63/48.05 'tc_nat' ), Z, Y ) ) ] )
% 47.63/48.05 , clause( 181211, [ ~( =( 'c_List_Oreplicate'( X, Y, Z ),
% 47.63/48.05 'c_List_Oreplicate'( T, U, Z ) ) ), =( Y, U ), =( X,
% 47.63/48.05 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 47.63/48.05 , clause( 181212, [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OVar'( X ), Y, Z )
% 47.63/48.05 , 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'( Z, X
% 47.63/48.05 , 'tc_nat' ) ] )
% 47.63/48.05 , clause( 181213, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 47.63/48.05 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 47.63/48.05 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 47.63/48.05 'c_HOL_Oone__class_Oone'( X ) ), X ) ] )
% 47.63/48.05 , clause( 181214, [ =( 'c_List_Otake'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 47.63/48.05 ), 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_List_Olist_ONil'( Z ) ) ] )
% 47.63/48.05 , clause( 181215, [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 47.63/48.05 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, T, 'tc_Lambda_OdB',
% 47.63/48.05 'tc_Lambda_OdB' ) ) ), =( T, 'c_List_Oappend'(
% 47.63/48.05 'c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1'( X
% 47.63/48.05 , Y, Z, T ), 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'(
% 47.63/48.05 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ), =( T,
% 47.63/48.05 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ] )
% 47.63/48.05 , clause( 181216, [ 'c_List_Olistsp'( 'c_Wellfounded_Oaccp'( X, Y ), Z, Y )
% 47.63/48.05 , ~( hBOOL( hAPP( 'c_Wellfounded_Oaccp'( 'c_ListOrder_Ostep1'( X, Y ),
% 47.63/48.05 'tc_List_Olist'( Y ) ), Z ) ) ) ] )
% 47.63/48.05 , clause( 181217, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ] )
% 47.63/48.05 , clause( 181218, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ] )
% 47.63/48.05 , clause( 181219, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 47.63/48.05 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 47.63/48.05 , clause( 181220, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 47.63/48.05 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 47.63/48.05 , clause( 181221, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 47.63/48.05 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 47.63/48.05 , clause( 181222, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 47.63/48.05 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 47.63/48.05 ), =( Z, Y ) ] )
% 47.63/48.05 , clause( 181223, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 47.63/48.05 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 47.63/48.05 ) ] )
% 47.63/48.05 , clause( 181224, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ),
% 47.63/48.05 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ), =( Y, X ) ] )
% 47.63/48.05 , clause( 181225, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ),
% 47.63/48.05 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), =( Z, Y ),
% 47.63/48.05 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ] )
% 47.63/48.05 , clause( 181226, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ),
% 47.63/48.05 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ), =( Y, X ) ] )
% 47.63/48.05 , clause( 181227, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 47.63/48.05 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 47.63/48.05 ), =( Z, Y ) ] )
% 47.63/48.05 , clause( 181228, [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ),
% 47.63/48.05 'c_List_Oreplicate'( T, Y, Z ), Z ), 'c_List_Oappend'(
% 47.63/48.05 'c_List_Oreplicate'( T, Y, Z ), 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ]
% 47.63/48.05 )
% 47.63/48.05 , clause( 181229, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 47.63/48.05 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Z, Y ),
% 47.63/48.05 'c_HOL_Oord__class_Oless'( Z, Y, X ) ] )
% 47.63/48.05 , clause( 181230, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 47.63/48.05 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 47.63/48.05 ) ] )
% 47.63/48.05 , clause( 181231, [ ~(
% 47.63/48.05 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 47.63/48.05 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 47.63/48.05 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 47.63/48.05 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 47.63/48.05 T, X ) ) ] )
% 47.63/48.05 , clause( 181232, [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 47.63/48.05 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP( hAPP(
% 47.63/48.05 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ), 'tc_nat' ), ~(
% 47.63/48.05 'c_HOL_Oord__class_Oless'( Y, T, 'tc_nat' ) ), ~(
% 47.63/48.05 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ] )
% 47.63/48.05 , clause( 181233, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 47.63/48.05 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 47.63/48.05 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~(
% 47.63/48.05 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ] )
% 47.63/48.05 , clause( 181234, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 47.63/48.05 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 47.63/48.05 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 47.63/48.05 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ] )
% 47.63/48.05 , clause( 181235, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Orev'( Z, Y ) ) )
% 47.63/48.05 , =( X, Z ) ] )
% 47.63/48.05 , clause( 181236, [ 'c_List_Olistsp'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 47.63/48.05 ~( 'c_List_Olistsp'( X, Z, T ) ), ~( 'c_List_Olistsp'( X, Y, T ) ) ] )
% 47.63/48.05 , clause( 181237, [ =( hAPP( 'c_Type_Oshift'( X, Y, Z, T ), U ), hAPP( X, U
% 47.63/48.05 ) ), ~( 'c_HOL_Oord__class_Oless'( U, Y, 'tc_nat' ) ) ] )
% 47.63/48.05 , clause( 181238, [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Orev'( Y, X ) )
% 47.63/48.05 ), =( Y, 'c_List_Olist_ONil'( X ) ) ] )
% 47.63/48.05 , clause( 181239, [ 'c_HOL_Oord__class_Oless'(
% 47.63/48.05 'c_ATP__Linkup_Osko__Nat__Xex__least__nat__less__1__1'( X, Y ), Y,
% 47.63/48.05 'tc_nat' ), ~( hBOOL( hAPP( X, Y ) ) ), hBOOL( hAPP( X,
% 47.63/48.05 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ] )
% 47.63/48.05 , clause( 181240, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 47.63/48.05 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 47.63/48.05 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 47.63/48.05 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ), ~(
% 47.63/48.05 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ] )
% 47.63/48.05 , clause( 181241, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 47.63/48.05 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 47.63/48.05 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 47.63/48.05 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 47.63/48.05 X ), T, X ) ) ] )
% 47.63/48.05 , clause( 181242, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 47.63/48.05 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 47.63/48.05 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 47.63/48.05 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), ~(
% 47.63/48.05 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ) ] )
% 47.63/48.05 , clause( 181243, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 47.63/48.05 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 47.63/48.05 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 47.63/48.05 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 47.63/48.05 X ), T, X ) ) ] )
% 47.63/48.05 , clause( 181244, [ ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 47.63/48.05 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), X, 'tc_nat' ) ) ] )
% 47.63/48.05 , clause( 181245, [ ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 47.63/48.05 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), Y, 'tc_nat' ) ) ] )
% 47.63/48.05 , clause( 181246, [ ~( =( 'c_Type_Otype_OFun'( X, Y ), 'c_Type_Otype_OFun'(
% 47.63/48.05 Z, T ) ) ), =( Y, T ) ] )
% 47.63/48.05 , clause( 181247, [ ~( =( 'c_Type_Otype_OFun'( X, Y ), 'c_Type_Otype_OFun'(
% 47.63/48.05 Z, T ) ) ), =( X, Z ) ] )
% 47.63/48.05 , clause( 181248, [ ~(
% 47.63/48.05 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 47.63/48.05 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 47.63/48.05 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 47.63/48.05 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 47.63/48.05 , clause( 181249, [ ~(
% 47.63/48.05 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 47.63/48.05 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 47.63/48.05 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 47.63/48.05 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 47.63/48.05 , clause( 181250, [ ~(
% 47.63/48.05 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 47.63/48.05 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 47.63/48.05 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 47.63/48.05 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ] )
% 47.63/48.05 , clause( 181251, [ ~(
% 47.63/48.05 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 47.63/48.05 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 47.63/48.05 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 47.63/48.05 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 47.63/48.05 , clause( 181252, [ ~(
% 47.63/48.05 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 47.63/48.05 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 47.63/48.05 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 47.63/48.05 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 47.63/48.05 , clause( 181253, [ ~(
% 47.63/48.05 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 47.63/48.05 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 47.63/48.05 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 47.63/48.05 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ] )
% 47.63/48.05 , clause( 181254, [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 47.63/48.05 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP( hAPP(
% 47.63/48.05 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ), 'tc_nat' ), ~(
% 47.63/48.05 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ] )
% 47.63/48.05 , clause( 181255, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 47.63/48.05 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 47.63/48.05 'tc_nat' ), Z ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 47.63/48.05 , Z ), Y ), 'tc_nat' ) ) ] )
% 47.63/48.05 , clause( 181256, [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 47.63/48.05 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP( hAPP(
% 47.63/48.05 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ), 'tc_nat' ), ~(
% 47.63/48.05 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ] )
% 47.63/48.05 , clause( 181257, [ =( 'c_List_Obutlast'( 'c_List_Olist_ONil'( X ), X ),
% 47.63/48.05 'c_List_Olist_ONil'( X ) ) ] )
% 47.63/48.05 , clause( 181258, [ =( 'c_List_Olist_ONil'( X ), 'c_List_Orev'(
% 47.63/48.05 'c_List_Olist_ONil'( X ), X ) ) ] )
% 47.63/48.05 , clause( 181259, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 47.63/48.05 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 47.63/48.05 Y, X ) ) ] )
% 47.63/48.05 , clause( 181260, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 47.63/48.05 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 47.63/48.05 Y, X ) ) ] )
% 47.63/48.05 , clause( 181261, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 47.63/48.05 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 47.63/48.05 Y, X ) ) ] )
% 47.63/48.05 , clause( 181262, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 47.63/48.05 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 47.63/48.05 Y, X ) ) ] )
% 47.63/48.05 , clause( 181263, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 47.63/48.05 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 47.63/48.05 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ), ~(
% 47.63/48.05 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 47.63/48.05 'tc_nat' ) ) ] )
% 47.63/48.05 , clause( 181264, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 47.63/48.05 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 47.63/48.05 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 47.63/48.05 , 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ] )
% 47.63/48.05 , clause( 181265, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 47.63/48.05 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 47.63/48.05 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 47.63/48.05 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 47.63/48.05 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 47.63/48.05 'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ) ] )
% 47.63/48.05 , clause( 181266, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 47.63/48.05 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 47.63/48.05 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 47.63/48.05 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 47.63/48.05 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 47.63/48.05 , Y, X ) ) ] )
% 47.63/48.05 , clause( 181267, [ =( 'c_List_Oappend'( 'c_List_Obutlast'( X, Y ),
% 47.63/48.05 'c_List_Olist_OCons'( 'c_List_Olast'( X, Y ), 'c_List_Olist_ONil'( Y ), Y
% 47.63/48.05 ), Y ), X ), =( X, 'c_List_Olist_ONil'( Y ) ) ] )
% 47.63/48.05 , clause( 181268, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 47.63/48.05 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 47.63/48.05 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~(
% 47.63/48.05 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 47.63/48.05 , clause( 181269, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 47.63/48.05 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 47.63/48.05 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 47.63/48.05 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ] )
% 47.63/48.05 , clause( 181270, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 47.63/48.05 ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 47.63/48.05 X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 47.63/48.05 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 47.63/48.05 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 47.63/48.05 , clause( 181271, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 47.63/48.05 ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 47.63/48.05 ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 47.63/48.05 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 47.63/48.05 , clause( 181272, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 47.63/48.05 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 47.63/48.05 ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 47.63/48.05 , Y ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 47.63/48.05 , clause( 181273, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 47.63/48.05 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 47.63/48.05 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 47.63/48.05 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 47.63/48.05 , clause( 181274, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 47.63/48.05 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 47.63/48.05 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 47.63/48.05 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 47.63/48.05 , clause( 181275, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 47.63/48.05 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 47.63/48.05 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~(
% 47.63/48.05 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 47.63/48.05 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 47.63/48.05 , clause( 181276, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 47.63/48.05 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 47.63/48.05 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 47.63/48.05 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 47.63/48.05 , clause( 181277, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 47.63/48.05 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 47.63/48.05 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 47.63/48.05 , clause( 181278, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 47.63/48.05 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 47.63/48.05 'c_HOL_Oone__class_Oone'( X ), X ) ] )
% 47.63/48.05 , clause( 181279, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 47.63/48.05 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 47.63/48.05 , Y ), 'c_HOL_Oone__class_Oone'( X ) ), X ) ] )
% 47.63/48.05 , clause( 181280, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 47.63/48.05 ~( 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X
% 47.63/48.05 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 47.63/48.05 , clause( 181281, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 47.63/48.05 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 47.63/48.05 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 47.63/48.05 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 47.63/48.05 , clause( 181282, [ =( 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'(
% 47.63/48.05 'tc_nat' ), X, Y ), 'c_List_Olist_ONil'( Y ) ) ] )
% 47.63/48.05 , clause( 181283, [ ~( =( 'c_List_Otake'( X, Y, Z ), 'c_List_Olist_ONil'( Z
% 47.63/48.05 ) ) ), =( Y, 'c_List_Olist_ONil'( Z ) ), =( X,
% 47.63/48.05 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 47.63/48.05 , clause( 181284, [ =( 'c_List_Olist_ONil'( X ), 'c_List_Oreplicate'(
% 47.63/48.05 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, X ) ) ] )
% 47.63/48.05 , clause( 181285, [ =( 'c_List_Otake'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 47.63/48.05 ), X, Y ), 'c_List_Olist_ONil'( Y ) ) ] )
% 47.63/48.05 , clause( 181286, [ ~( =( 'c_List_Oreplicate'( X, Y, Z ),
% 47.63/48.05 'c_List_Olist_ONil'( Z ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 47.63/48.05 ) ) ] )
% 47.63/48.05 , clause( 181287, [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oreplicate'( Y
% 47.63/48.05 , Z, X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 47.63/48.05 , clause( 181288, [ =( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y
% 47.63/48.05 ), 'c_List_Orev'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y )
% 47.63/48.05 , Y ) ) ] )
% 47.63/48.05 , clause( 181289, [ =( 'c_List_Olast'( 'c_List_Olist_OCons'( X, Y, Z ), Z )
% 47.63/48.05 , 'c_List_Olast'( Y, Z ) ), =( Y, 'c_List_Olist_ONil'( Z ) ) ] )
% 47.63/48.05 , clause( 181290, [ =( 'c_List_Orev'( 'c_List_Olist_OCons'( X,
% 47.63/48.05 'c_List_Olist_ONil'( Y ), Y ), Y ), 'c_List_Olist_OCons'( X,
% 47.63/48.05 'c_List_Olist_ONil'( Y ), Y ) ) ] )
% 47.63/48.05 , clause( 181291, [ ~( =( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y )
% 47.63/48.05 , Y ), 'c_List_Orev'( Z, Y ) ) ), =( Z, 'c_List_Olist_OCons'( X,
% 47.63/48.05 'c_List_Olist_ONil'( Y ), Y ) ) ] )
% 47.63/48.05 , clause( 181292, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z,
% 47.63/48.05 'c_List_Olist_ONil'( Y ), Y ) ) ), =( X, 'c_List_Olist_OCons'( Z,
% 47.63/48.05 'c_List_Olist_ONil'( Y ), Y ) ) ] )
% 47.63/48.05 , clause( 181293, [ =( 'c_List_Obutlast'( 'c_List_Olist_OCons'( X,
% 47.63/48.05 'c_List_Olist_ONil'( Y ), Y ), Y ), 'c_List_Olist_ONil'( Y ) ) ] )
% 47.63/48.05 , clause( 181294, [ =( 'c_List_Olast'( 'c_List_Olist_OCons'( X,
% 47.63/48.05 'c_List_Olist_ONil'( Y ), Y ), Y ), X ) ] )
% 47.63/48.05 , clause( 181295, [ =( 'c_List_Obutlast'( 'c_List_Olist_OCons'( X, Y, Z ),
% 47.63/48.05 Z ), 'c_List_Olist_OCons'( X, 'c_List_Obutlast'( Y, Z ), Z ) ), =( Y,
% 47.63/48.05 'c_List_Olist_ONil'( Z ) ) ] )
% 47.63/48.05 , clause( 181296, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 47.63/48.05 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y )
% 47.63/48.05 , 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 47.63/48.05 'tc_nat' ), X, 'tc_nat' ) ) ] )
% 47.63/48.05 , clause( 181297, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 47.63/48.05 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y )
% 47.63/48.05 , 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 47.63/48.05 'tc_nat' ), Y, 'tc_nat' ) ) ] )
% 47.63/48.05 , clause( 181298, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 47.63/48.05 'tc_nat' ), X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 47.63/48.05 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ), ~(
% 47.63/48.05 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP(
% 47.63/48.05 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ] )
% 47.63/48.05 , clause( 181299, [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_OCons'(
% 47.63/48.05 T, U, Z ) ) ), =( 'c_List_Oappend'(
% 47.63/48.05 'c_List_Osko__List__Xappend__eq__Cons__conv__1__1'( T, U, X, Y, Z ), Y, Z
% 47.63/48.05 ), U ), =( Y, 'c_List_Olist_OCons'( T, U, Z ) ) ] )
% 47.63/48.05 , clause( 181300, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'(
% 47.63/48.05 T, U, Z ) ) ), =( 'c_List_Olist_OCons'( X,
% 47.63/48.05 'c_List_Osko__List__XCons__eq__append__conv__1__1'( X, Y, T, U, Z ), Z )
% 47.63/48.05 , T ), =( 'c_List_Olist_OCons'( X, Y, Z ), U ) ] )
% 47.63/48.05 , clause( 181301, [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_OCons'(
% 47.63/48.05 T, U, Z ) ) ), =( X, 'c_List_Olist_OCons'( T,
% 47.63/48.05 'c_List_Osko__List__Xappend__eq__Cons__conv__1__1'( T, U, X, Y, Z ), Z )
% 47.63/48.05 ), =( Y, 'c_List_Olist_OCons'( T, U, Z ) ) ] )
% 47.63/48.05 , clause( 181302, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'(
% 47.63/48.05 T, U, Z ) ) ), =( Y, 'c_List_Oappend'(
% 47.63/48.05 'c_List_Osko__List__XCons__eq__append__conv__1__1'( X, Y, T, U, Z ), U, Z
% 47.63/48.05 ) ), =( 'c_List_Olist_OCons'( X, Y, Z ), U ) ] )
% 47.63/48.05 , clause( 181303, [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ),
% 47.63/48.05 'c_List_Olist_OCons'( Y, T, Z ), Z ), 'c_List_Olist_OCons'( Y,
% 47.63/48.05 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ), T, Z ), Z ) ) ] )
% 47.63/48.05 , clause( 181304, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 47.63/48.05 ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 47.63/48.05 'c_Power_Opower__class_Opower'( Y, T, X ) ) ), ~(
% 47.63/48.05 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Z
% 47.63/48.05 , T ) ] )
% 47.63/48.05 , clause( 181305, [ =( 'c_List_Obutlast'( 'c_List_Oappend'( X,
% 47.63/48.05 'c_List_Olist_ONil'( Y ), Y ), Y ), 'c_List_Obutlast'( X, Y ) ) ] )
% 47.63/48.05 , clause( 181306, [ =( 'c_List_Olast'( 'c_List_Oappend'( X, Y, Z ), Z ),
% 47.63/48.05 'c_List_Olast'( Y, Z ) ), =( Y, 'c_List_Olist_ONil'( Z ) ) ] )
% 47.63/48.05 , clause( 181307, [ =( 'c_List_Olast'( 'c_List_Oappend'( X,
% 47.63/48.05 'c_List_Olist_ONil'( Y ), Y ), Y ), 'c_List_Olast'( X, Y ) ) ] )
% 47.63/48.05 , clause( 181308, [ =( 'c_List_Obutlast'( 'c_List_Oappend'( X, Y, Z ), Z )
% 47.63/48.05 , 'c_List_Oappend'( X, 'c_List_Obutlast'( Y, Z ), Z ) ), =( Y,
% 47.63/48.05 'c_List_Olist_ONil'( Z ) ) ] )
% 47.63/48.05 , clause( 181309, [ =( 'c_List_Oreplicate'( hAPP( hAPP(
% 47.63/48.05 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), Z, T ),
% 47.63/48.05 'c_List_Oappend'( 'c_List_Oreplicate'( X, Z, T ), 'c_List_Oreplicate'( Y
% 47.63/48.05 , Z, T ), T ) ) ] )
% 47.63/48.05 , clause( 181310, [ 'c_Type_Otyping'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', Y
% 47.63/48.05 ), Z ), T ), ~( 'c_Type_Otyping'( X, Z, U ) ), ~( 'c_Type_Otyping'( X, Y
% 47.63/48.05 , 'c_Type_Otype_OFun'( U, T ) ) ) ] )
% 47.63/48.05 , clause( 181311, [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =( hAPP(
% 47.63/48.05 hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y ), X ), Y )
% 47.63/48.05 ] )
% 47.63/48.05 , clause( 181312, [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst',
% 47.63/48.05 'c_Lambda_OdB_OVar'( X ) ), Y ), Z ), 'c_Lambda_OdB_OVar'( X ) ), =( X, Z
% 47.63/48.05 ), 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' ) ] )
% 47.63/48.05 , clause( 181313, [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst',
% 47.63/48.05 'c_Lambda_OdB_OVar'( X ) ), Y ), Z ), 'c_Lambda_OdB_OVar'( X ) ), ~(
% 47.63/48.05 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ] )
% 47.63/48.05 , clause( 181314, [ =( hAPP( hAPP( 'c_Lambda_Olift', 'c_Lambda_OdB_OVar'( X
% 47.63/48.05 ) ), Y ), 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Y
% 47.63/48.05 , 'tc_nat' ) ) ] )
% 47.63/48.05 , clause( 181315, [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OVar'( Y ), Z )
% 47.63/48.05 , 'c_Lambda_OdB_OVar'( Y ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z,
% 47.63/48.05 'tc_nat' ) ) ] )
% 47.63/48.05 , clause( 181316, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'(
% 47.63/48.05 T, U, Z ) ) ), =( Y, 'c_List_Oappend'(
% 47.63/48.05 'c_List_Osko__List__XCons__eq__append__conv__1__1'( X, Y, T, U, Z ), U, Z
% 47.63/48.05 ) ), =( T, 'c_List_Olist_ONil'( Z ) ) ] )
% 47.63/48.05 , clause( 181317, [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_OCons'(
% 47.63/48.05 T, U, Z ) ) ), =( X, 'c_List_Olist_OCons'( T,
% 47.63/48.05 'c_List_Osko__List__Xappend__eq__Cons__conv__1__1'( T, U, X, Y, Z ), Z )
% 47.63/48.05 ), =( X, 'c_List_Olist_ONil'( Z ) ) ] )
% 47.63/48.05 , clause( 181318, [ =( 'c_List_Olast'( 'c_List_Oappend'( X,
% 47.63/48.05 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'( Z ), Z ), Z ), Z ), Y ) ]
% 47.63/48.05 )
% 47.63/48.05 , clause( 181319, [ =( 'c_List_Obutlast'( 'c_List_Oappend'( X,
% 47.63/48.05 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'( Z ), Z ), Z ), Z ), X ) ]
% 47.63/48.05 )
% 47.63/48.05 , clause( 181320, [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_OCons'(
% 47.63/48.05 T, U, Z ) ) ), =( 'c_List_Oappend'(
% 47.63/48.05 'c_List_Osko__List__Xappend__eq__Cons__conv__1__1'( T, U, X, Y, Z ), Y, Z
% 47.63/48.05 ), U ), =( X, 'c_List_Olist_ONil'( Z ) ) ] )
% 47.63/48.05 , clause( 181321, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'(
% 47.63/48.05 T, U, Z ) ) ), =( 'c_List_Olist_OCons'( X,
% 47.63/48.05 'c_List_Osko__List__XCons__eq__append__conv__1__1'( X, Y, T, U, Z ), Z )
% 47.63/48.05 , T ), =( T, 'c_List_Olist_ONil'( Z ) ) ] )
% 47.63/48.05 , clause( 181322, [ =( 'c_List_Orev'( 'c_List_Olist_OCons'( X, Y, Z ), Z )
% 47.63/48.05 , 'c_List_Oappend'( 'c_List_Orev'( Y, Z ), 'c_List_Olist_OCons'( X,
% 47.63/48.05 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ] )
% 47.63/48.05 , clause( 181323, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z, T
% 47.63/48.05 , Y ) ) ), =( X, 'c_List_Oappend'( 'c_List_Orev'( T, Y ),
% 47.63/48.05 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( Y ), Y ), Y ) ) ] )
% 47.63/48.05 , clause( 181324, [ =( 'c_List_Orev'( 'c_List_Oappend'( 'c_List_Orev'( X, Y
% 47.63/48.05 ), 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( Y ), Y ), Y ), Y ),
% 47.63/48.05 'c_List_Olist_OCons'( Z, X, Y ) ) ] )
% 47.63/48.05 , clause( 181325, [ =( 'c_List_Orotate1'( 'c_List_Olist_OCons'( X, Y, Z ),
% 47.63/48.05 Z ), 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Z
% 47.63/48.05 ), Z ), Z ) ) ] )
% 47.63/48.05 , clause( 181326, [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ),
% 47.63/48.05 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'( Z ), Z ), Z ),
% 47.63/48.05 'c_List_Olist_OCons'( Y, 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ] )
% 47.63/48.05 , clause( 181327, [ =( 'c_List_Otake'( 'c_HOL_Oone__class_Oone'( 'tc_nat' )
% 47.63/48.05 , 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_List_Olist_OCons'( X,
% 47.63/48.05 'c_List_Olist_ONil'( Z ), Z ) ) ] )
% 47.63/48.05 , clause( 181328, [ hBOOL( hAPP( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 47.63/48.05 'tc_nat' ), 'c_ATP__Linkup_Osko__Nat__Xex__least__nat__less__1__1'( X, Y
% 47.63/48.05 ) ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ), ~( hBOOL( hAPP( X, Y )
% 47.63/48.05 ) ), hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ] )
% 47.63/48.05 , clause( 181329, [ hBOOL( hAPP( 'c_Wellfounded_Oaccp'(
% 47.63/48.05 'c_ListOrder_Ostep1'( X, Y ), 'tc_List_Olist'( Y ) ),
% 47.63/48.05 'c_List_Olist_OCons'( Z, T, Y ) ) ), ~( hBOOL( hAPP(
% 47.63/48.05 'c_Wellfounded_Oaccp'( 'c_ListOrder_Ostep1'( X, Y ), 'tc_List_Olist'( Y )
% 47.63/48.05 ), T ) ) ), ~( hBOOL( hAPP( 'c_Wellfounded_Oaccp'( X, Y ), Z ) ) ) ] )
% 47.63/48.05 , clause( 181330, [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OVar'( Y ), Z )
% 47.63/48.05 , 'c_Lambda_OdB_OVar'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 47.63/48.05 , Y ), X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ] )
% 47.63/48.05 , clause( 181331, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'(
% 47.63/48.05 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ), Y, 'tc_Lambda_OdB',
% 47.63/48.05 'tc_Lambda_OdB' ) ) ), ~( 'c_List_Olistsp'( 'c_InductTermi_OIT', Y,
% 47.63/48.05 'tc_Lambda_OdB' ) ) ] )
% 47.63/48.05 , clause( 181332, [ =( hAPP( hAPP( 'c_Lambda_Olift', hAPP( hAPP( hAPP(
% 47.63/48.05 'c_Lambda_Osubst', X ), Y ), Z ) ), T ), hAPP( hAPP( hAPP(
% 47.63/48.05 'c_Lambda_Osubst', hAPP( hAPP( 'c_Lambda_Olift', X ), T ) ), hAPP( hAPP(
% 47.63/48.05 'c_Lambda_Olift', Y ), T ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 47.63/48.05 'tc_nat' ), Z ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ), ~(
% 47.63/48.05 'c_HOL_Oord__class_Oless'( T, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 47.63/48.05 'tc_nat' ), Z ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'tc_nat' ) ) ]
% 47.63/48.05 )
% 47.63/48.05 , clause( 181333, [ =( hAPP( hAPP( 'c_Lambda_Olift', hAPP( hAPP( hAPP(
% 47.63/48.05 'c_Lambda_Osubst', X ), Y ), Z ) ), T ), hAPP( hAPP( hAPP(
% 47.63/48.05 'c_Lambda_Osubst', hAPP( hAPP( 'c_Lambda_Olift', X ), hAPP( hAPP(
% 47.63/48.05 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T ), 'c_HOL_Oone__class_Oone'(
% 47.63/48.05 'tc_nat' ) ) ) ), hAPP( hAPP( 'c_Lambda_Olift', Y ), T ) ), Z ) ), ~(
% 47.63/48.05 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 47.63/48.05 'tc_nat' ), T ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'tc_nat' ) ) ]
% 47.63/48.05 )
% 47.63/48.05 , clause( 181334, [ =( hAPP( hAPP( 'c_Lambda_Olift', 'c_Lambda_OdB_OVar'( X
% 47.63/48.05 ) ), Y ), 'c_Lambda_OdB_OVar'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 47.63/48.05 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ),
% 47.63/48.05 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ] )
% 47.63/48.05 , clause( 181335, [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OAbs'( Y ),
% 47.63/48.05 'c_Type_Otype_OFun'( Z, T ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( X,
% 47.63/48.05 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_Type_Otype' ), Y, T ) ) ]
% 47.63/48.05 )
% 47.63/48.05 , clause( 181336, [ 'c_Type_Otyping'( 'v_e____', 'v_u____', 'v_T____' ) ]
% 47.63/48.05 )
% 47.63/48.05 , clause( 181337, [ 'c_Type_Otyping'( 'v_ea______', 'v_ua______', 'v_T____'
% 47.63/48.05 ) ] )
% 47.63/48.05 , clause( 181338, [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =(
% 47.63/48.05 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OVar'( X ), Y, X ), 'c_Lambda_Oliftn'(
% 47.63/48.05 X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ] )
% 47.63/48.05 , clause( 181339, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 47.63/48.05 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 47.63/48.05 'c_Nat_Osemiring__1__class_Oof__nat__aux'( 'c_COMBC'(
% 47.63/48.05 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ), X, X, X )
% 47.63/48.05 , Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 47.63/48.05 , clause( 181340, [ 'c_Type_Otypings'( 'c_Type_Oshift'( X, Y, Z,
% 47.63/48.05 'tc_Type_Otype' ), 'c_List_Omap'( 'c_COMBC'( 'c_Lambda_Olift', Y,
% 47.63/48.05 'tc_Lambda_OdB', 'tc_nat', 'tc_Lambda_OdB' ), T, 'tc_Lambda_OdB',
% 47.63/48.05 'tc_Lambda_OdB' ), U ), ~( 'c_Type_Otypings'( X, T, U ) ) ] )
% 47.63/48.05 , clause( 181341, [ ~( =( 'v_T____', 'c_Type_Otype_OFun'( X, Y ) ) ), hBOOL(
% 47.63/48.05 hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', Z ), T )
% 47.63/48.05 , U ) ) ), ~( 'c_Type_Otyping'( W, T, Y ) ), ~( hBOOL( hAPP(
% 47.63/48.05 'c_InductTermi_OIT', T ) ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( W, U
% 47.63/48.05 , Y, 'tc_Type_Otype' ), Z, V0 ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', Z
% 47.63/48.05 ) ) ) ] )
% 47.63/48.05 , clause( 181342, [ ~( =( 'v_T____', 'c_Type_Otype_OFun'( X, Y ) ) ), hBOOL(
% 47.63/48.05 hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', Z ), T )
% 47.63/48.05 , U ) ) ), ~( 'c_Type_Otyping'( W, T, X ) ), ~( hBOOL( hAPP(
% 47.63/48.05 'c_InductTermi_OIT', T ) ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( W, U
% 47.63/48.05 , X, 'tc_Type_Otype' ), Z, V0 ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', Z
% 47.63/48.05 ) ) ) ] )
% 47.63/48.05 , clause( 181343, [ 'c_List_Olistsp'( 'c_InductTermi_OIT', 'c_List_Omap'(
% 47.63/48.05 'c_COMBC'( 'c_Lambda_Olift', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 47.63/48.05 'tc_Lambda_OdB', 'tc_nat', 'tc_Lambda_OdB' ), X, 'tc_Lambda_OdB',
% 47.63/48.05 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), ~( 'c_List_Olistsp'(
% 47.63/48.05 'c_InductTermi_OIT', X, 'tc_Lambda_OdB' ) ) ] )
% 47.63/48.05 , clause( 181344, [ =( X, 'c_List_Olist_OCons'(
% 47.63/48.05 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__4'( Y, X, Z ),
% 47.63/48.05 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__5'( Y, X, Z ),
% 47.63/48.05 'tc_Lambda_OdB' ) ), =( Z, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Y,
% 47.63/48.05 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2'( Y, X, Z ),
% 47.63/48.05 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), =( Z, 'c_List_Ofoldl'(
% 47.63/48.05 'c_Lambda_OdB_OApp', 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1'( Y
% 47.63/48.05 , X, Z ), X, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( hAPP(
% 47.63/48.05 'c_Lambda_Obeta', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Y, X,
% 47.63/48.05 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ) ) ) ] )
% 47.63/48.05 , clause( 181345, [ =( X, 'c_List_Olist_OCons'(
% 47.63/48.05 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__4'( Y, X, Z ),
% 47.63/48.05 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__5'( Y, X, Z ),
% 47.63/48.05 'tc_Lambda_OdB' ) ), =( Z, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Y,
% 47.63/48.05 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2'( Y, X, Z ),
% 47.63/48.05 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), hBOOL( hAPP( hAPP( 'c_Lambda_Obeta'
% 47.63/48.05 , Y ), 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1'( Y, X, Z ) ) ),
% 47.63/48.05 ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 47.63/48.05 'c_Lambda_OdB_OApp', Y, X, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ) ) )
% 47.63/48.05 ] )
% 47.63/48.05 , clause( 181346, [ 'c_Type_Otypings'( X, 'c_List_Omap'( 'c_COMBC'(
% 47.63/48.05 'c_COMBC'( 'c_Lambda_Osubst', Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB',
% 47.63/48.05 'tc_fun'( 'tc_nat', 'tc_Lambda_OdB' ) ), Z, 'tc_Lambda_OdB', 'tc_nat',
% 47.63/48.05 'tc_Lambda_OdB' ), T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), U ), ~(
% 47.63/48.05 'c_Type_Otypings'( 'c_Type_Oshift'( X, Z, W, 'tc_Type_Otype' ), T, U ) )
% 47.63/48.05 , ~( 'c_Type_Otyping'( X, Y, W ) ) ] )
% 47.63/48.05 , clause( 181347, [ =( X, 'c_List_Olist_OCons'(
% 47.63/48.05 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__4'( Y, X, Z ),
% 47.63/48.05 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__5'( Y, X, Z ),
% 47.63/48.05 'tc_Lambda_OdB' ) ), hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'(
% 47.63/48.05 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X ),
% 47.63/48.05 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2'( Y, X, Z ) ) ), hBOOL(
% 47.63/48.05 hAPP( hAPP( 'c_Lambda_Obeta', Y ),
% 47.63/48.05 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1'( Y, X, Z ) ) ), ~( hBOOL(
% 47.63/48.05 hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Y, X
% 47.63/48.05 , 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ) ) ) ] )
% 47.63/48.05 , clause( 181348, [ =( X, 'c_List_Olist_OCons'(
% 47.63/48.05 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__4'( Y, X, Z ),
% 47.63/48.05 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__5'( Y, X, Z ),
% 47.63/48.05 'tc_Lambda_OdB' ) ), hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'(
% 47.63/48.05 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X ),
% 47.63/48.05 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2'( Y, X, Z ) ) ), =( Z,
% 47.63/48.05 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 47.63/48.05 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1'( Y, X, Z ), X,
% 47.63/48.05 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( hAPP(
% 47.63/48.05 'c_Lambda_Obeta', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Y, X,
% 47.63/48.05 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ) ) ) ] )
% 47.63/48.05 , clause( 181349, [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X
% 47.63/48.05 , W ), Y ) ) ] )
% 47.63/48.05 , clause( 181350, [ =( 'c_List_Omap'( X, 'c_List_Olist_ONil'( Y ), Y, Z ),
% 47.63/48.05 'c_List_Olist_ONil'( Z ) ) ] )
% 47.63/48.05 , clause( 181351, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 47.63/48.05 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Oone__class_Oone'( 'tc_nat'
% 47.63/48.05 ), X ), 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 47.63/48.05 , clause( 181352, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X
% 47.63/48.05 , Y ), Z ), T ) ), ~( hBOOL( hAPP( hAPP(
% 47.63/48.05 'c_Transitive__Closure_Ortranclp'( 'c_Predicate_Oconversep'( X, Y, Y ), Y
% 47.63/48.05 ), T ), Z ) ) ) ] )
% 47.63/48.05 , clause( 181353, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 47.63/48.05 'c_Predicate_Oconversep'( X, Y, Y ), Y ), Z ), T ) ), ~( hBOOL( hAPP(
% 47.63/48.05 hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), T ), Z ) ) ) ] )
% 47.63/48.05 , clause( 181354, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP(
% 47.63/48.05 'c_ListOrder_Ostep1'( X, T ), U ), W ) ), ~( hBOOL( hAPP( hAPP(
% 47.63/48.05 'c_ListOrder_Ostep1'( X, T ), 'c_List_Oappend'( U, 'c_List_Olist_OCons'(
% 47.63/48.05 Y, 'c_List_Olist_ONil'( T ), T ), T ) ), 'c_List_Oappend'( W,
% 47.63/48.05 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( T ), T ), T ) ) ) ) ] )
% 47.63/48.05 , clause( 181355, [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y ), hAPP( X
% 47.63/48.05 , Y ) ) ] )
% 47.63/48.05 , clause( 181356, [ =( 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, Z ), T
% 47.63/48.05 , Z ), 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ] )
% 47.63/48.05 , clause( 181357, [ =( 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, Z ), T
% 47.63/48.05 , Z ), 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ] )
% 47.63/48.05 , clause( 181358, [ =( 'c_List_Omap'( X, 'c_List_Olist_OCons'( Y, Z, T ), T
% 47.63/48.05 , U ), 'c_List_Olist_OCons'( hAPP( X, Y ), 'c_List_Omap'( X, Z, T, U ), U
% 47.63/48.05 ) ) ] )
% 47.63/48.05 , clause( 181359, [ =( 'c_List_Olist_OCons'( hAPP( X, Y ), 'c_List_Omap'( X
% 47.63/48.05 , Z, T, U ), U ), 'c_List_Omap'( X, 'c_List_Olist_OCons'( Y, Z, T ), T, U
% 47.63/48.05 ) ) ] )
% 47.63/48.05 , clause( 181360, [ =( 'c_List_Omap'( X, 'c_List_Olist_OCons'( Y, Z, T ), T
% 47.63/48.05 , U ), 'c_List_Olist_OCons'( hAPP( X, Y ), 'c_List_Omap'( X, Z, T, U ), U
% 47.63/48.05 ) ) ] )
% 47.63/48.05 , clause( 181361, [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat'
% 47.63/48.05 ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z
% 47.63/48.05 ) ) ), =( Y, Z ) ] )
% 47.63/48.05 , clause( 181362, [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat'
% 47.63/48.05 ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y
% 47.63/48.05 ) ) ), =( X, Z ) ] )
% 47.63/48.05 , clause( 181363, [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat'
% 47.63/48.05 ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z
% 47.63/48.05 ) ) ), =( Y, Z ) ] )
% 47.63/48.05 , clause( 181364, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 47.63/48.05 'class_Int_Onumber__ring'( X ) ), ~( =( hAPP( hAPP(
% 47.63/48.05 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 47.63/48.05 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ] )
% 47.63/48.05 , clause( 181365, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X
% 47.63/48.05 ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP(
% 47.63/48.05 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ] )
% 47.63/48.05 , clause( 181366, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) )
% 47.63/48.05 , ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 47.63/48.05 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ] )
% 47.63/48.05 , clause( 181367, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) )
% 47.63/48.05 , ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 47.63/48.05 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ] )
% 47.63/48.05 , clause( 181368, [ =( 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, Z, T )
% 47.63/48.05 , T ), 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, T ), Z, T ) ) ] )
% 47.63/48.05 , clause( 181369, [ =( 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, Z, T )
% 47.63/48.05 , T ), 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, T ), Z, T ) ) ] )
% 47.63/48.05 , clause( 181370, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ),
% 47.63/48.05 'c_List_Olist_ONil'( Z ) ) ) ] )
% 47.63/48.05 , clause( 181371, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ),
% 47.63/48.05 'c_List_Olist_ONil'( Z ) ) ) ] )
% 47.63/48.05 , clause( 181372, [ =( X, Y ), hBOOL( hAPP( hAPP( Z, Y ), X ) ), ~( hBOOL(
% 47.63/48.05 hAPP( hAPP( 'c_ListOrder_Ostep1'( Z, T ), 'c_List_Olist_OCons'( Y, U, T )
% 47.63/48.05 ), 'c_List_Olist_OCons'( X, W, T ) ) ) ) ] )
% 47.63/48.05 , clause( 181373, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 47.63/48.05 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 47.63/48.05 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 47.63/48.05 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ), hAPP( hAPP(
% 47.63/48.05 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 47.63/48.05 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) )
% 47.63/48.05 ) ] )
% 47.63/48.05 , clause( 181374, [ 'c_Type_Otyping'( X, Y, Z ), ~( 'c_Type_Otyping'( X, T
% 47.63/48.05 , Z ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 47.63/48.05 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), T ), Y ) ) ) ] )
% 47.63/48.05 , clause( 181375, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), Y ) ) ] )
% 47.63/48.05 , clause( 181376, [ ~( =( X, 'c_List_Olist_OCons'( Y, X, Z ) ) ) ] )
% 47.63/48.05 , clause( 181377, [ =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'(
% 47.63/48.05 'c_List_Olist_ONil'( Z ), 'c_List_Olist_OCons'( X, Y, Z ), Z ) ) ] )
% 47.63/48.05 , clause( 181378, [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP(
% 47.63/48.05 'c_Lambda_OdB_OApp', X ), 'c_Lambda_OdB_OVar'( Y ) ) ) ), ~( hBOOL( hAPP(
% 47.63/48.05 'c_InductTermi_OIT', X ) ) ) ] )
% 47.63/48.05 , clause( 181379, [ ~( 'c_Type_Otyping'( X, Y, Z ) ), ~( 'c_Type_Otyping'(
% 47.63/48.05 'c_Type_Oshift'( X, T, Z, 'tc_Type_Otype' ), U, W ) ), 'c_Type_Otyping'(
% 47.63/48.05 X, hAPP( hAPP( hAPP( 'c_Lambda_Osubst', U ), Y ), T ), W ) ] )
% 47.63/48.05 , clause( 181380, [ =( 'c_List_Olist_ONil'( X ), 'c_List_Omap'( Y,
% 47.63/48.05 'c_List_Olist_ONil'( Z ), Z, X ) ) ] )
% 47.63/48.05 , clause( 181381, [ =( X, Y ), hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'( Z,
% 47.63/48.05 T ), X ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'( Z, T ),
% 47.63/48.05 'c_List_Oappend'( X, 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( T ), T
% 47.63/48.05 ), T ) ), 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( W,
% 47.63/48.05 'c_List_Olist_ONil'( T ), T ), T ) ) ) ) ] )
% 47.63/48.05 , clause( 181382, [ =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'(
% 47.63/48.05 'c_List_Olist_ONil'( X ), 'c_List_Olist_ONil'( X ), X ) ) ] )
% 47.63/48.05 , clause( 181383, [ =( 'c_Transitive__Closure_Ortranclp'(
% 47.63/48.05 'c_Transitive__Closure_Ortranclp'( X, Y ), Y ),
% 47.63/48.05 'c_Transitive__Closure_Ortranclp'( X, Y ) ) ] )
% 47.63/48.05 , clause( 181384, [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~(
% 47.63/48.05 'c_OrderedGroup_Omonoid__add'( Z, X, T ) ) ] )
% 47.63/48.05 , clause( 181385, [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~(
% 47.63/48.05 'c_OrderedGroup_Omonoid__add'( Y, X, T ) ) ] )
% 47.63/48.05 , clause( 181386, [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP(
% 47.63/48.05 hAPP( 'c_Lambda_Osubst', 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__3'(
% 47.63/48.05 Y, Z, X ) ), 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__4'( Y, Z, X )
% 47.63/48.05 ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 47.63/48.05 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__5'( Y, Z, X ),
% 47.63/48.05 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), hBOOL( hAPP( hAPP(
% 47.63/48.05 'c_ListOrder_Ostep1'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), Z ),
% 47.63/48.05 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2'( Y, Z, X ) ) ), =( X,
% 47.63/48.05 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 47.63/48.05 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1'( Y, Z, X ), Z,
% 47.63/48.05 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( hAPP(
% 47.63/48.05 'c_Lambda_Obeta', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Y, Z,
% 47.63/48.05 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), X ) ) ) ] )
% 47.63/48.05 , clause( 181387, [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP(
% 47.63/48.05 hAPP( 'c_Lambda_Osubst', 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__3'(
% 47.63/48.05 Y, Z, X ) ), 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__4'( Y, Z, X )
% 47.63/48.05 ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 47.63/48.05 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__5'( Y, Z, X ),
% 47.63/48.05 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), hBOOL( hAPP( hAPP(
% 47.63/48.05 'c_ListOrder_Ostep1'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), Z ),
% 47.63/48.05 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2'( Y, Z, X ) ) ), hBOOL(
% 47.63/48.05 hAPP( hAPP( 'c_Lambda_Obeta', Y ),
% 47.63/48.05 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1'( Y, Z, X ) ) ), ~( hBOOL(
% 47.63/48.05 hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Y, Z
% 47.63/48.05 , 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), X ) ) ) ] )
% 47.63/48.05 , clause( 181388, [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 47.63/48.05 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 47.63/48.05 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 47.63/48.05 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 47.63/48.05 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 47.63/48.05 ) ) ] )
% 47.63/48.05 , clause( 181389, [ ~(
% 47.63/48.05 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~( =(
% 47.63/48.05 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 47.63/48.05 ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 47.63/48.05 , clause( 181390, [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 47.63/48.05 =( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ]
% 47.63/48.05 )
% 47.63/48.05 , clause( 181391, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 47.63/48.05 ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 47.63/48.05 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 47.63/48.05 ) ) ] )
% 47.63/48.05 , clause( 181392, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 47.63/48.05 'class_Int_Onumber__ring'( X ) ), ~( =( Y, hAPP( hAPP(
% 47.63/48.05 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), =( Z,
% 47.63/48.05 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 47.63/48.05 , clause( 181393, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 47.63/48.05 ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 47.63/48.05 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 47.63/48.05 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 47.63/48.05 , clause( 181394, [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 47.63/48.05 =( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ]
% 47.63/48.05 )
% 47.63/48.05 , clause( 181395, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 47.63/48.05 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 47.63/48.05 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), Y ) ] )
% 47.63/48.05 , clause( 181396, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 47.63/48.05 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'(
% 47.63/48.05 X ) ), Y ), Y ) ] )
% 47.63/48.05 , clause( 181397, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 47.63/48.05 'class_Int_Onumber__ring'( X ) ), =( Y, hAPP( hAPP(
% 47.63/48.05 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 47.63/48.05 ] )
% 47.63/48.05 , clause( 181398, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 47.63/48.05 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 47.63/48.05 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ] )
% 47.63/48.05 , clause( 181399, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP(
% 47.63/48.05 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 47.63/48.05 , Y ), Y ) ] )
% 47.63/48.05 , clause( 181400, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP(
% 47.63/48.05 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 47.63/48.05 ) ), Y ) ] )
% 47.63/48.05 , clause( 181401, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 47.63/48.05 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 47.63/48.05 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ] )
% 47.63/48.05 , clause( 181402, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 47.63/48.05 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 47.63/48.05 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), Y ) ] )
% 47.63/48.05 , clause( 181403, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 47.63/48.05 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 47.63/48.05 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 47.63/48.05 X ), 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 47.63/48.05 , clause( 181404, [ =( 'c_Lambda_Oliftn'( 'c_HOL_Ozero__class_Ozero'(
% 47.63/48.05 'tc_nat' ), X, Y ), X ) ] )
% 47.63/48.05 , clause( 181405, [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat'
% 47.63/48.05 ), X ), Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 47.63/48.05 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 47.63/48.05 , clause( 181406, [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat'
% 47.63/48.05 ), X ), Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 47.63/48.05 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 47.63/48.05 , clause( 181407, [ ~( =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 47.63/48.05 'tc_nat' ), X ), Y ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 47.63/48.05 ] )
% 47.63/48.05 , clause( 181408, [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat'
% 47.63/48.05 ), X ), Y ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 47.63/48.05 , clause( 181409, [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 47.63/48.05 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 47.63/48.05 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 47.63/48.05 , clause( 181410, [ =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat'
% 47.63/48.05 ), X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ] )
% 47.63/48.05 , clause( 181411, [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 47.63/48.05 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), X ) ] )
% 47.63/48.05 , clause( 181412, [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 47.63/48.05 X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ] )
% 47.63/48.05 , clause( 181413, [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 47.63/48.05 hAPP( hAPP( 'c_Lambda_OdB_OApp', U ), W ), 't_a' ) ) ) ), hBOOL( hAPP( X
% 47.63/48.05 , hAPP( hAPP( Z, U ), W ) ) ) ] )
% 47.63/48.05 , clause( 181414, [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 47.63/48.05 hAPP( hAPP( 'c_Lambda_OdB_OApp', U ), W ), 't_a' ) ) ) ), hBOOL( hAPP( X
% 47.63/48.05 , hAPP( hAPP( Z, U ), W ) ) ) ] )
% 47.63/48.05 , clause( 181415, [ ~( =( 'c_Lambda_OdB_OVar'( X ), hAPP( hAPP(
% 47.63/48.05 'c_Lambda_OdB_OApp', Y ), Z ) ) ) ] )
% 47.63/48.05 , clause( 181416, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 47.63/48.05 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 47.63/48.05 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 47.63/48.05 , clause( 181417, [ =( 'c_Lambda_OdB_OdB__case'( X, Y, Z,
% 47.63/48.05 'c_Lambda_OdB_OVar'( T ), U ), hAPP( X, T ) ) ] )
% 47.63/48.05 , clause( 181418, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 47.63/48.05 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 47.63/48.05 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 47.63/48.05 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP(
% 47.63/48.05 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ] )
% 47.63/48.05 , clause( 181419, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 47.63/48.05 'c_Predicate_Oconversep'( X, T, U ), Z ), Y ) ) ) ] )
% 47.63/48.05 , clause( 181420, [ hBOOL( hAPP( hAPP( 'c_Predicate_Oconversep'( X, Y, Z )
% 47.63/48.05 , T ), U ) ), ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ) ] )
% 47.63/48.05 , clause( 181421, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 47.63/48.05 'c_Predicate_Oconversep'( X, T, U ), Z ), Y ) ) ) ] )
% 47.63/48.05 , clause( 181422, [ hBOOL( hAPP( hAPP( 'c_Predicate_Oconversep'( X, Y, Z )
% 47.63/48.05 , T ), U ) ), ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ) ] )
% 47.63/48.05 , clause( 181423, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 47.63/48.05 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 47.63/48.05 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 47.63/48.05 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 47.63/48.05 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ] )
% 47.63/48.05 , clause( 181424, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 47.63/48.05 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 47.63/48.05 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 47.63/48.05 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 47.63/48.05 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ] )
% 47.63/48.05 , clause( 181425, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 47.63/48.05 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 47.63/48.05 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 47.63/48.05 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 47.63/48.05 X ), Y ), T ) ), Z ) ) ] )
% 47.63/48.05 , clause( 181426, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 47.63/48.05 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 47.63/48.05 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 47.63/48.05 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 47.63/48.05 X ), Y ), Z ) ), T ) ) ] )
% 47.63/48.05 , clause( 181427, [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 47.63/48.05 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 47.63/48.05 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 47.63/48.05 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 47.63/48.05 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ] )
% 47.63/48.05 , clause( 181428, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 47.63/48.05 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 47.63/48.05 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 47.63/48.05 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 47.63/48.05 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ] )
% 47.63/48.05 , clause( 181429, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 47.63/48.05 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 47.63/48.05 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 47.63/48.05 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 47.63/48.05 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ] )
% 47.63/48.05 , clause( 181430, [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 47.63/48.05 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP(
% 47.63/48.05 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 47.63/48.05 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ) ] )
% 47.63/48.05 , clause( 181431, [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 47.63/48.05 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP(
% 47.63/48.05 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), hAPP( hAPP(
% 47.63/48.05 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ) ] )
% 47.63/48.05 , clause( 181432, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP(
% 47.63/48.05 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 47.63/48.05 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 47.63/48.05 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 47.63/48.05 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ] )
% 47.63/48.05 , clause( 181433, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 47.63/48.05 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 47.63/48.05 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 47.63/48.05 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 47.63/48.05 X ), Y ), Z ) ), T ) ) ] )
% 47.63/48.05 , clause( 181434, [ ~( hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'( X, Y ), Z )
% 47.63/48.05 , T ) ) ), hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'( X, Y ),
% 47.63/48.05 'c_List_Oappend'( Z, U, Y ) ), 'c_List_Oappend'( T, U, Y ) ) ) ] )
% 47.63/48.05 , clause( 181435, [ hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'( X, Y ),
% 47.63/48.05 'c_List_Oappend'( Z, T, Y ) ), 'c_List_Oappend'( Z, U, Y ) ) ), ~( hBOOL(
% 47.63/48.05 hAPP( hAPP( 'c_ListOrder_Ostep1'( X, Y ), T ), U ) ) ) ] )
% 47.63/48.05 , clause( 181436, [ =( X, Y ), =( Z, T ), ~( hBOOL( hAPP( hAPP(
% 47.63/48.05 'c_ListOrder_Ostep1'( U, W ), 'c_List_Olist_OCons'( Y, T, W ) ),
% 47.63/48.05 'c_List_Olist_OCons'( X, Z, W ) ) ) ) ] )
% 47.63/48.05 , clause( 181437, [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), hBOOL( hAPP(
% 47.63/48.05 hAPP( 'c_ListOrder_Ostep1'( X, T ), 'c_List_Olist_OCons'( Y, U, T ) ),
% 47.63/48.05 'c_List_Olist_OCons'( Z, U, T ) ) ) ] )
% 47.63/48.05 , clause( 181438, [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( T
% 47.63/48.05 , Y, Z ) ) ), =( X, T ) ] )
% 47.63/48.05 , clause( 181439, [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( X
% 47.63/48.05 , T, Z ) ) ), =( Y, T ) ] )
% 47.63/48.05 , clause( 181440, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X
% 47.63/48.05 , Y ), Z ), Z ) ) ] )
% 47.63/48.05 , clause( 181441, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X
% 47.63/48.05 , Y ), Z ), Z ) ) ] )
% 47.63/48.05 , clause( 181442, [ hBOOL( hAPP( 'c_Wellfounded_Oaccp'( X, Y ), Z ) ), ~(
% 47.63/48.05 hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T ) )
% 47.63/48.05 ), ~( hBOOL( hAPP( 'c_Wellfounded_Oaccp'( X, Y ), T ) ) ) ] )
% 47.63/48.05 , clause( 181443, [ hBOOL( hAPP( 'c_Wellfounded_Oaccp'( X, Y ), Z ) ), ~(
% 47.63/48.05 hBOOL( hAPP( 'c_Wellfounded_Oaccp'( X, Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 47.63/48.05 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T ) ) ) ] )
% 47.63/48.05 , clause( 181444, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X
% 47.63/48.05 , Y ), Z ), T ) ), ~( hBOOL( hAPP( hAPP(
% 47.63/48.05 'c_Transitive__Closure_Ortranclp'( X, Y ), U ), T ) ) ), ~( hBOOL( hAPP(
% 47.63/48.05 hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), U ) ) ) ] )
% 47.63/48.05 , clause( 181445, [ hBOOL( hAPP( 'c_Wellfounded_Oaccp'(
% 47.63/48.05 'c_Predicate_Oconversep'( 'c_Lambda_Obeta', 'tc_Lambda_OdB',
% 47.63/48.05 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), X ) ), ~( hBOOL( hAPP(
% 47.63/48.05 'c_InductTermi_OIT', X ) ) ) ] )
% 47.63/48.05 , clause( 181446, [ hBOOL( hAPP( 'c_InductTermi_OIT', X ) ), ~( hBOOL( hAPP(
% 47.63/48.05 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'( 'c_Lambda_Obeta',
% 47.63/48.05 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), X ) ) ) ] )
% 47.63/48.05 , clause( 181447, [ =( 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 47.63/48.05 X ) ] )
% 47.63/48.05 , clause( 181448, [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y
% 47.63/48.05 ) ) ] )
% 47.63/48.05 , clause( 181449, [ =( X, 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y
% 47.63/48.05 ) ) ] )
% 47.63/48.05 , clause( 181450, [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), Y, X ),
% 47.63/48.05 Y ) ] )
% 47.63/48.05 , clause( 181451, [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y
% 47.63/48.05 ) ) ] )
% 47.63/48.05 , clause( 181452, [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OAbs'( X ), Y, Z )
% 47.63/48.05 , 'c_Lambda_OdB_OAbs'( 'c_Lambda_Osubstn'( X, Y, hAPP( hAPP(
% 47.63/48.05 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), 'c_HOL_Oone__class_Oone'(
% 47.63/48.05 'tc_nat' ) ) ) ) ) ] )
% 47.63/48.05 , clause( 181453, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 47.63/48.05 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 47.63/48.05 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ] )
% 47.63/48.05 , clause( 181454, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 47.63/48.05 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 47.63/48.05 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ] )
% 47.63/48.05 , clause( 181455, [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 47.63/48.05 X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) )
% 47.63/48.05 ] )
% 47.63/48.05 , clause( 181456, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 47.63/48.05 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 47.63/48.05 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ] )
% 47.63/48.05 , clause( 181457, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), =( Y, Z ), ~( hBOOL(
% 47.63/48.05 hAPP( hAPP( 'c_ListOrder_Ostep1'( X, T ), 'c_List_Oappend'( U,
% 47.63/48.05 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'( T ), T ), T ) ),
% 47.63/48.05 'c_List_Oappend'( W, 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( T ), T
% 47.63/48.05 ), T ) ) ) ) ] )
% 47.63/48.05 , clause( 181458, [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 47.63/48.05 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 47.63/48.05 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ] )
% 47.63/48.05 , clause( 181459, [ =( hAPP( X, Y ), Z ), ~( 'c_Type_Otyping'( X,
% 47.63/48.05 'c_Lambda_OdB_OVar'( Y ), Z ) ) ] )
% 47.63/48.05 , clause( 181460, [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Omap'( Y, Z, T
% 47.63/48.05 , X ) ) ), =( Z, 'c_List_Olist_ONil'( T ) ) ] )
% 47.63/48.05 , clause( 181461, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OVar'(
% 47.63/48.05 X ) ) ) ] )
% 47.63/48.05 , clause( 181462, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 47.63/48.05 =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat'
% 47.63/48.05 ), X ), Y ) ] )
% 47.63/48.05 , clause( 181463, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 47.63/48.05 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 47.63/48.05 X ), Y ) ] )
% 47.63/48.05 , clause( 181464, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X
% 47.63/48.05 , Y ), Z ), T ) ), ~( hBOOL( hAPP( hAPP( X, Z ), T ) ) ) ] )
% 47.63/48.05 , clause( 181465, [ ~( hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'( X, Y ),
% 47.63/48.05 'c_List_Olist_ONil'( Y ) ), Z ) ) ) ] )
% 47.63/48.05 , clause( 181466, [ ~( hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'( X, Y ), Z )
% 47.63/48.05 , 'c_List_Olist_ONil'( Y ) ) ) ) ] )
% 47.63/48.05 , clause( 181467, [ =( hAPP( 'c_Type_Oshift'( X, Y, Z, T ), Y ), Z ) ] )
% 47.63/48.05 , clause( 181468, [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP(
% 47.63/48.05 'c_Lambda_Olift', X ), Y ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X )
% 47.63/48.05 ) ) ] )
% 47.63/48.05 , clause( 181469, [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z
% 47.63/48.05 , X ) ) ), =( Y, 'c_List_Olist_ONil'( X ) ) ] )
% 47.63/48.05 , clause( 181470, [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z
% 47.63/48.05 , X ) ) ), =( Z, 'c_List_Olist_ONil'( X ) ) ] )
% 47.63/48.05 , clause( 181471, [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'(
% 47.63/48.05 Z ) ) ), =( X, 'c_List_Olist_ONil'( Z ) ) ] )
% 47.63/48.05 , clause( 181472, [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'(
% 47.63/48.05 Z ) ) ), =( Y, 'c_List_Olist_ONil'( Z ) ) ] )
% 47.63/48.05 , clause( 181473, [ =( 'c_Predicate_Oconversep'( 'c_fequal'( X ), X, X ),
% 47.63/48.05 'c_fequal'( X ) ) ] )
% 47.63/48.05 , clause( 181474, [ =( 'c_Lambda_OdB_OdB__rec'( X, Y, Z,
% 47.63/48.05 'c_Lambda_OdB_OVar'( T ), U ), hAPP( X, T ) ) ] )
% 47.63/48.05 , clause( 181475, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 47.63/48.05 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_Olift', X ), Y
% 47.63/48.05 ) ), hAPP( hAPP( 'c_Lambda_Olift', Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 47.63/48.05 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X
% 47.63/48.05 ), Z ) ) ) ] )
% 47.63/48.05 , clause( 181476, [ hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'( X, Y ), Z ), T
% 47.63/48.05 ) ), =( T, Z ), ~( hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'( X, Y ),
% 47.63/48.05 'c_List_Olist_OCons'( U, Z, Y ) ), 'c_List_Olist_OCons'( W, T, Y ) ) ) )
% 47.63/48.05 ] )
% 47.63/48.05 , clause( 181477, [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP(
% 47.63/48.05 hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ) ), ~(
% 47.63/48.05 'c_OrderedGroup_Osemigroup__add'( X, U ) ) ] )
% 47.63/48.05 , clause( 181478, [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OAbs'( Y ), Z )
% 47.63/48.05 , 'c_Lambda_OdB_OAbs'( 'c_Lambda_Oliftn'( X, Y, hAPP( hAPP(
% 47.63/48.05 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), 'c_HOL_Oone__class_Oone'(
% 47.63/48.05 'tc_nat' ) ) ) ) ) ] )
% 47.63/48.05 , clause( 181479, [ =( 'c_List_Omap'( X, 'c_List_Oappend'( Y, Z, T ), T, U
% 47.63/48.05 ), 'c_List_Oappend'( 'c_List_Omap'( X, Y, T, U ), 'c_List_Omap'( X, Z, T
% 47.63/48.05 , U ), U ) ) ] )
% 47.63/48.05 , clause( 181480, [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Olist_OCons'( Y
% 47.63/48.05 , Z, X ) ) ) ] )
% 47.63/48.05 , clause( 181481, [ =( X, Y ), =( Z, T ), ~( hBOOL( hAPP( hAPP(
% 47.63/48.05 'c_ListOrder_Ostep1'( U, W ), 'c_List_Oappend'( X, 'c_List_Olist_OCons'(
% 47.63/48.05 Z, 'c_List_Olist_ONil'( W ), W ), W ) ), 'c_List_Oappend'( Y,
% 47.63/48.05 'c_List_Olist_OCons'( T, 'c_List_Olist_ONil'( W ), W ), W ) ) ) ) ] )
% 47.63/48.05 , clause( 181482, [ =( hAPP( hAPP( 'c_Lambda_Olift', 'c_List_Ofoldl'(
% 47.63/48.05 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ),
% 47.63/48.05 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_Olift', X ),
% 47.63/48.05 Z ), 'c_List_Omap'( 'c_COMBC'( 'c_Lambda_Olift', Z, 'tc_Lambda_OdB',
% 47.63/48.05 'tc_nat', 'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 47.63/48.05 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ] )
% 47.63/48.05 , clause( 181483, [ ~( 'class_Power_Opower'( X ) ), =(
% 47.63/48.05 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 47.63/48.05 , X ), 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 47.63/48.05 , clause( 181484, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 47.63/48.05 =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'(
% 47.63/48.05 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 47.63/48.05 , clause( 181485, [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ),
% 47.63/48.05 'c_OrderedGroup_Osemigroup__add'( 'c_HOL_Oplus__class_Oplus'( X ), X ) ]
% 47.63/48.05 )
% 47.63/48.05 , clause( 181486, [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP(
% 47.63/48.05 'c_Lambda_Osubst', X ), 'c_Lambda_OdB_OVar'( Y ) ), Z ) ) ), ~( hBOOL(
% 47.63/48.05 hAPP( 'c_InductTermi_OIT', X ) ) ) ] )
% 47.63/48.05 , clause( 181487, [ =( 'c_Predicate_Oconversep'( 'c_Predicate_Oconversep'(
% 47.63/48.05 X, Y, Z ), Z, Y ), X ) ] )
% 47.63/48.05 , clause( 181488, [ ~( =( 'c_List_Oappend'( X, Y, Z ), X ) ), =( Y,
% 47.63/48.05 'c_List_Olist_ONil'( Z ) ) ] )
% 47.63/48.05 , clause( 181489, [ ~( =( X, 'c_List_Oappend'( X, Y, Z ) ) ), =( Y,
% 47.63/48.05 'c_List_Olist_ONil'( Z ) ) ] )
% 47.63/48.05 , clause( 181490, [ ~( =( 'c_List_Oappend'( X, Y, Z ), Y ) ), =( X,
% 47.63/48.05 'c_List_Olist_ONil'( Z ) ) ] )
% 47.63/48.05 , clause( 181491, [ ~( =( X, 'c_List_Oappend'( Y, X, Z ) ) ), =( Y,
% 47.63/48.05 'c_List_Olist_ONil'( Z ) ) ] )
% 47.63/48.05 , clause( 181492, [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ),
% 47.63/48.05 'c_List_Olist_OCons'( Y, Z, X ), X ), 'c_List_Olist_OCons'( Y, Z, X ) ) ]
% 47.63/48.05 )
% 47.63/48.05 , clause( 181493, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ),
% 47.63/48.05 'c_List_Olist_OCons'( T, U, Z ) ) ), =( X, T ) ] )
% 47.63/48.05 , clause( 181494, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ),
% 47.63/48.05 'c_List_Olist_OCons'( T, U, Z ) ) ), =( Y, U ) ] )
% 47.63/48.05 , clause( 181495, [ hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'( X, Y ), Z ), T
% 47.63/48.05 ) ), hBOOL( hAPP( hAPP( X, U ), W ) ), ~( hBOOL( hAPP( hAPP(
% 47.63/48.05 'c_ListOrder_Ostep1'( X, Y ), 'c_List_Olist_OCons'( U, Z, Y ) ),
% 47.63/48.05 'c_List_Olist_OCons'( W, T, Y ) ) ) ) ] )
% 47.63/48.05 , clause( 181496, [ hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'( X, Y ),
% 47.63/48.05 'c_List_Olist_OCons'( Z, T, Y ) ), 'c_List_Olist_OCons'( Z, U, Y ) ) ),
% 47.63/48.05 ~( hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'( X, Y ), T ), U ) ) ) ] )
% 47.63/48.05 , clause( 181497, [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 47.63/48.05 'c_Lambda_OdB_OVar'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( Y, U ) ) )
% 47.63/48.05 ] )
% 47.63/48.05 , clause( 181498, [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 47.63/48.05 'c_Lambda_OdB_OVar'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( Y, U ) ) )
% 47.63/48.05 ] )
% 47.63/48.05 , clause( 181499, [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OVar'( Y
% 47.63/48.05 ) ) ), =( X, Y ) ] )
% 47.63/48.05 , clause( 181500, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 47.63/48.05 'c_Nat_Osemiring__1__class_Oof__nat'( hAPP( hAPP(
% 47.63/48.05 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), X ), hAPP( hAPP(
% 47.63/48.05 'c_HOL_Oplus__class_Oplus'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 47.63/48.05 , X ) ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ) ] )
% 47.63/48.05 , clause( 181501, [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Olist_ONil'(
% 47.63/48.05 T ) ) ), =( Y, 'c_List_Olist_ONil'( Z ) ) ] )
% 47.63/48.05 , clause( 181502, [ ~( =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 47.63/48.05 'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Oappend'( T,
% 47.63/48.05 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ), =( X, T
% 47.63/48.05 ) ] )
% 47.63/48.05 , clause( 181503, [ ~( =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 47.63/48.05 'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Oappend'( T,
% 47.63/48.05 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ), =( Y, U
% 47.63/48.05 ) ] )
% 47.63/48.05 , clause( 181504, [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ),
% 47.63/48.05 'c_List_Olist_ONil'( X ), X ), 'c_List_Olist_ONil'( X ) ) ] )
% 47.63/48.05 , clause( 181505, [ =( hAPP( hAPP( 'c_Lambda_Olift', 'c_Lambda_OdB_OAbs'( X
% 47.63/48.05 ) ), Y ), 'c_Lambda_OdB_OAbs'( hAPP( hAPP( 'c_Lambda_Olift', X ), hAPP(
% 47.63/48.05 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ),
% 47.63/48.05 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ) ) ] )
% 47.63/48.05 , clause( 181506, [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z
% 47.63/48.05 ), 'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ] )
% 47.63/48.05 , clause( 181507, [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T
% 47.63/48.05 ), 'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ] )
% 47.63/48.05 , clause( 181508, [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z
% 47.63/48.05 ), 'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ] )
% 47.63/48.05 , clause( 181509, [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T
% 47.63/48.05 ), 'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ] )
% 47.63/48.05 , clause( 181510, [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP(
% 47.63/48.05 'c_Lambda_Osubst', 'v_a____' ), X ), Y ) ) ), ~( 'c_Type_Otyping'( Z, X,
% 47.63/48.05 'v_T____' ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ), ~(
% 47.63/48.05 'c_Type_Otyping'( 'c_Type_Oshift'( Z, Y, 'v_T____', 'tc_Type_Otype' ),
% 47.63/48.05 'v_a____', T ) ) ] )
% 47.63/48.05 , clause( 181511, [ 'c_Type_Otyping'( 'c_Type_Oshift'( X, Y, Z,
% 47.63/48.05 'tc_Type_Otype' ), hAPP( hAPP( 'c_Lambda_Olift', T ), Y ), U ), ~(
% 47.63/48.05 'c_Type_Otyping'( X, T, U ) ) ] )
% 47.63/48.05 , clause( 181512, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X
% 47.63/48.05 , Y ), Z ), T ) ), ~( hBOOL( hAPP( hAPP(
% 47.63/48.05 'c_Transitive__Closure_Ortranclp'( X, Y ), U ), T ) ) ), ~( hBOOL( hAPP(
% 47.63/48.05 hAPP( X, Z ), U ) ) ) ] )
% 47.63/48.05 , clause( 181513, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X
% 47.63/48.05 , Y ), Z ), T ) ), ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ), ~( hBOOL( hAPP(
% 47.63/48.05 hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), U ) ) ) ] )
% 47.63/48.05 , clause( 181514, [ hBOOL( hAPP( 'c_Wellfounded_Oaccp'( X, Y ), Z ) ), ~(
% 47.63/48.05 hBOOL( hAPP( hAPP( X, Z ), T ) ) ), ~( hBOOL( hAPP( 'c_Wellfounded_Oaccp'(
% 47.63/48.05 X, Y ), T ) ) ) ] )
% 47.63/48.05 , clause( 181515, [ hBOOL( hAPP( 'c_Wellfounded_Oaccp'( X, Y ), Z ) ), ~(
% 47.63/48.05 hBOOL( hAPP( hAPP( X, Z ), T ) ) ), ~( hBOOL( hAPP( 'c_Wellfounded_Oaccp'(
% 47.63/48.05 X, Y ), T ) ) ) ] )
% 47.63/48.05 , clause( 181516, [ =( hAPP( hAPP( 'c_Lambda_Olift', hAPP( hAPP(
% 47.63/48.05 'c_Lambda_OdB_OApp', X ), Y ) ), Z ), hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 47.63/48.05 hAPP( hAPP( 'c_Lambda_Olift', X ), Z ) ), hAPP( hAPP( 'c_Lambda_Olift', Y
% 47.63/48.05 ), Z ) ) ) ] )
% 47.63/48.05 , clause( 181517, [ =( 'c_Lambda_OdB_OdB__case'( X, Y, Z, hAPP( hAPP(
% 47.63/48.05 'c_Lambda_OdB_OApp', T ), U ), W ), hAPP( hAPP( Y, T ), U ) ) ] )
% 47.63/48.05 , clause( 181518, [ =( 'c_Lambda_OdB_OdB__rec'( X, Y, Z, hAPP( hAPP(
% 47.63/48.05 'c_Lambda_OdB_OApp', T ), U ), W ), hAPP( hAPP( hAPP( hAPP( Y, T ), U ),
% 47.63/48.05 'c_Lambda_OdB_OdB__rec'( X, Y, Z, T, W ) ), 'c_Lambda_OdB_OdB__rec'( X, Y
% 47.63/48.05 , Z, U, W ) ) ) ] )
% 47.63/48.05 , clause( 181519, [ =( 'c_Lambda_Oliftn'( X, hAPP( hAPP(
% 47.63/48.05 'c_Lambda_OdB_OApp', Y ), Z ), T ), hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 47.63/48.05 'c_Lambda_Oliftn'( X, Y, T ) ), 'c_Lambda_Oliftn'( X, Z, T ) ) ) ] )
% 47.63/48.05 , clause( 181520, [ =( 'c_Lambda_Osubstn'( hAPP( hAPP( 'c_Lambda_OdB_OApp'
% 47.63/48.05 , X ), Y ), Z, T ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Osubstn'(
% 47.63/48.05 X, Z, T ) ), 'c_Lambda_Osubstn'( Y, Z, T ) ) ) ] )
% 47.63/48.05 , clause( 181521, [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 47.63/48.05 'c_Lambda_OdB_OVar'( Z ) ) ) ] )
% 47.63/48.05 , clause( 181522, [ =( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ),
% 47.63/48.05 'c_Lambda_Osko__Lambda__Xbeta__cases__3__3'( Y, Z, X ) ) ), hBOOL( hAPP(
% 47.63/48.05 hAPP( 'c_Lambda_Obeta', Y ), 'c_Lambda_Osko__Lambda__Xbeta__cases__3__2'(
% 47.63/48.05 Y, Z, X ) ) ), =( Y, 'c_Lambda_OdB_OAbs'(
% 47.63/48.05 'c_Lambda_Osko__Lambda__Xbeta__cases__3__1'( Y, Z, X ) ) ), ~( hBOOL(
% 47.63/48.05 hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), Z ) )
% 47.63/48.05 , X ) ) ) ] )
% 47.63/48.05 , clause( 181523, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ),
% 47.63/48.05 'c_Lambda_Osko__Lambda__Xbeta__cases__3__3'( Y, X, Z ) ) ), =( Z, hAPP(
% 47.63/48.05 hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Osko__Lambda__Xbeta__cases__3__2'( Y
% 47.63/48.05 , X, Z ) ), X ) ), =( Y, 'c_Lambda_OdB_OAbs'(
% 47.63/48.05 'c_Lambda_Osko__Lambda__Xbeta__cases__3__1'( Y, X, Z ) ) ), ~( hBOOL(
% 47.63/48.05 hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), X ) )
% 47.63/48.05 , Z ) ) ) ] )
% 47.63/48.05 , clause( 181524, [ =( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ),
% 47.63/48.05 'c_Lambda_Osko__Lambda__Xbeta__cases__3__3'( Y, Z, X ) ) ), =( X, hAPP(
% 47.63/48.05 hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Osko__Lambda__Xbeta__cases__3__2'( Y
% 47.63/48.05 , Z, X ) ), Z ) ), =( Y, 'c_Lambda_OdB_OAbs'(
% 47.63/48.05 'c_Lambda_Osko__Lambda__Xbeta__cases__3__1'( Y, Z, X ) ) ), ~( hBOOL(
% 47.63/48.05 hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), Z ) )
% 47.63/48.05 , X ) ) ) ] )
% 47.63/48.05 , clause( 181525, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ),
% 47.63/48.05 'c_Lambda_Osko__Lambda__Xbeta__cases__3__3'( Y, X, Z ) ) ), hBOOL( hAPP(
% 47.63/48.05 hAPP( 'c_Lambda_Obeta', Y ), 'c_Lambda_Osko__Lambda__Xbeta__cases__3__2'(
% 47.63/48.05 Y, X, Z ) ) ), =( Y, 'c_Lambda_OdB_OAbs'(
% 47.63/48.05 'c_Lambda_Osko__Lambda__Xbeta__cases__3__1'( Y, X, Z ) ) ), ~( hBOOL(
% 47.63/48.05 hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), X ) )
% 47.63/48.05 , Z ) ) ) ] )
% 47.63/48.05 , clause( 181526, [ =( 'c_Lambda_Osubstn'( X, Y, Z ), hAPP( hAPP( hAPP(
% 47.63/48.05 'c_Lambda_Osubst', X ), 'c_Lambda_Oliftn'( Z, Y,
% 47.63/48.05 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), Z ) ) ] )
% 47.63/48.05 , clause( 181527, [ 'c_Type_Otyping'( X, Y, Z ), ~( hBOOL( hAPP( hAPP(
% 47.63/48.05 'c_Lambda_Obeta', T ), Y ) ) ), ~( 'c_Type_Otyping'( X, T, Z ) ) ] )
% 47.63/48.05 , clause( 181528, [ ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta',
% 47.63/48.05 'c_Lambda_OdB_OVar'( X ) ), Y ) ) ) ] )
% 47.63/48.05 , clause( 181529, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP(
% 47.63/48.05 'c_Lambda_Olift', X ), Y ) ), hAPP( hAPP( 'c_Lambda_Olift', Z ), Y ) ) )
% 47.63/48.05 , ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ), Z ) ) ) ] )
% 47.63/48.05 , clause( 181530, [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst',
% 47.63/48.05 'c_Lambda_OdB_OAbs'( X ) ), Y ), Z ), 'c_Lambda_OdB_OAbs'( hAPP( hAPP(
% 47.63/48.05 hAPP( 'c_Lambda_Osubst', X ), hAPP( hAPP( 'c_Lambda_Olift', Y ),
% 47.63/48.05 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( hAPP(
% 47.63/48.05 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), 'c_HOL_Oone__class_Oone'(
% 47.63/48.05 'tc_nat' ) ) ) ) ) ] )
% 47.63/48.05 , clause( 181531, [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP(
% 47.63/48.05 hAPP( 'c_Lambda_Osubst', 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__3'(
% 47.63/48.05 Y, Z, X ) ), 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__4'( Y, Z, X )
% 47.63/48.05 ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 47.63/48.05 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__5'( Y, Z, X ),
% 47.63/48.05 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), =( X, 'c_List_Ofoldl'(
% 47.63/48.05 'c_Lambda_OdB_OApp', Y, 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2'(
% 47.63/48.05 Y, Z, X ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), hBOOL( hAPP( hAPP(
% 47.63/48.05 'c_Lambda_Obeta', Y ), 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1'(
% 47.63/48.05 Y, Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 47.63/48.05 'c_Lambda_OdB_OApp', Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), X ) ) )
% 47.63/48.05 ] )
% 47.63/48.05 , clause( 181532, [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP(
% 47.63/48.05 hAPP( 'c_Lambda_Osubst', 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__3'(
% 47.63/48.05 Y, Z, X ) ), 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__4'( Y, Z, X )
% 47.63/48.05 ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 47.63/48.05 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__5'( Y, Z, X ),
% 47.63/48.05 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), =( X, 'c_List_Ofoldl'(
% 47.63/48.05 'c_Lambda_OdB_OApp', Y, 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2'(
% 47.63/48.05 Y, Z, X ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), =( X, 'c_List_Ofoldl'(
% 47.63/48.05 'c_Lambda_OdB_OApp', 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1'( Y
% 47.63/48.05 , Z, X ), Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( hAPP(
% 47.63/48.05 'c_Lambda_Obeta', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Y, Z,
% 47.63/48.05 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), X ) ) ) ] )
% 47.63/48.05 , clause( 181533, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OVar'( Y
% 47.63/48.05 ) ) ) ] )
% 47.63/48.05 , clause( 181534, [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 47.63/48.05 'c_Lambda_OdB_OAbs'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( T, U ) ) )
% 47.63/48.05 ] )
% 47.63/48.05 , clause( 181535, [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 47.63/48.05 'c_Lambda_OdB_OAbs'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( T, U ) ) )
% 47.63/48.05 ] )
% 47.63/48.05 , clause( 181536, [ =( 'c_Lambda_OdB_OdB__rec'( X, Y, Z,
% 47.63/48.05 'c_Lambda_OdB_OAbs'( T ), U ), hAPP( hAPP( Z, T ),
% 47.63/48.05 'c_Lambda_OdB_OdB__rec'( X, Y, Z, T, U ) ) ) ] )
% 47.63/48.05 , clause( 181537, [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OAbs'( Y
% 47.63/48.05 ) ) ) ] )
% 47.63/48.05 , clause( 181538, [ =( 'c_Lambda_OdB_OdB__case'( X, Y, Z,
% 47.63/48.05 'c_Lambda_OdB_OAbs'( T ), U ), hAPP( Z, T ) ) ] )
% 47.63/48.05 , clause( 181539, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OAbs'(
% 47.63/48.05 X ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ] )
% 47.63/48.05 , clause( 181540, [ =( X, 'c_Lambda_OdB_OAbs'(
% 47.63/48.05 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__3'( X, Y, Z ) ) ), hBOOL(
% 47.63/48.05 hAPP( hAPP( 'c_ListOrder_Ostep1'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), Y
% 47.63/48.05 ), 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2'( X, Y, Z ) ) ),
% 47.63/48.05 hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ),
% 47.63/48.05 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1'( X, Y, Z ) ) ), ~( hBOOL(
% 47.63/48.05 hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y
% 47.63/48.05 , 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ) ) ) ] )
% 47.63/48.05 , clause( 181541, [ =( X, 'c_Lambda_OdB_OAbs'(
% 47.63/48.05 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__3'( X, Y, Z ) ) ), hBOOL(
% 47.63/48.05 hAPP( hAPP( 'c_ListOrder_Ostep1'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), Y
% 47.63/48.05 ), 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2'( X, Y, Z ) ) ), =( Z
% 47.63/48.05 , 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 47.63/48.05 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1'( X, Y, Z ), Y,
% 47.63/48.05 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( hAPP(
% 47.63/48.05 'c_Lambda_Obeta', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y,
% 47.63/48.05 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ) ) ) ] )
% 47.63/48.05 , clause( 181542, [ hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'(
% 47.63/48.05 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X ),
% 47.63/48.05 'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1'( Y, X, Z ) ) ),
% 47.63/48.05 ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 47.63/48.05 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Y ), X, 'tc_Lambda_OdB',
% 47.63/48.05 'tc_Lambda_OdB' ) ), Z ) ) ) ] )
% 47.63/48.05 , clause( 181543, [ =( X, Y ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'(
% 47.63/48.05 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB',
% 47.63/48.05 'tc_Lambda_OdB' ), Y ) ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'(
% 47.63/48.05 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB',
% 47.63/48.05 'tc_Lambda_OdB' ), X ) ) ] )
% 47.63/48.05 , clause( 181544, [ =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'(
% 47.63/48.05 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ), 'c_List_Olist_ONil'(
% 47.63/48.05 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ] )
% 47.63/48.05 , clause( 181545, [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 47.63/48.05 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, T, 'tc_Lambda_OdB',
% 47.63/48.05 'tc_Lambda_OdB' ) ) ), =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z,
% 47.63/48.05 'c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1'( X
% 47.63/48.05 , Y, Z, T ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), =( T,
% 47.63/48.05 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ] )
% 47.63/48.05 , clause( 181546, [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 47.63/48.05 'c_ListApplication_Osko__ListApplication__Xex__head__tail__1__2'( X ),
% 47.63/48.05 'c_ListApplication_Osko__ListApplication__Xex__head__tail__1__1'( X ),
% 47.63/48.05 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ] )
% 47.63/48.05 , clause( 181547, [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'(
% 47.63/48.05 'c_Lambda_OdB_OApp', Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Z,
% 47.63/48.05 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ] )
% 47.63/48.05 , clause( 181548, [ =( 'c_List_Ofoldl'( X, hAPP( hAPP( X, Y ), Z ), T, U, U
% 47.63/48.05 ), hAPP( hAPP( X, Y ), 'c_List_Ofoldl'( X, Z, T, U, U ) ) ), ~(
% 47.63/48.05 'c_OrderedGroup_Osemigroup__add'( X, U ) ) ] )
% 47.63/48.05 , clause( 181549, [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_ONil'( Z ), T,
% 47.63/48.05 Z ), Y ) ] )
% 47.63/48.05 , clause( 181550, [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), =(
% 47.63/48.05 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 47.63/48.05 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), T, X, X ), hAPP( hAPP(
% 47.63/48.05 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_List_Ofoldl'(
% 47.63/48.05 'c_HOL_Oplus__class_Oplus'( X ), Z, T, X, X ) ) ) ] )
% 47.63/48.05 , clause( 181551, [ =( hAPP( hAPP( X, Y ), 'c_List_Ofoldl'( X, Z, T, U, U )
% 47.63/48.05 ), 'c_List_Ofoldl'( X, Y, T, U, U ) ), ~( 'c_OrderedGroup_Omonoid__add'(
% 47.63/48.05 Z, X, U ) ) ] )
% 47.63/48.05 , clause( 181552, [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_OCons'( Z, T, U
% 47.63/48.05 ), W, U ), 'c_List_Ofoldl'( X, hAPP( hAPP( X, Y ), Z ), T, W, U ) ) ] )
% 47.63/48.05 , clause( 181553, [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Oappend'( Z, T, U ),
% 47.63/48.05 W, U ), 'c_List_Ofoldl'( X, 'c_List_Ofoldl'( X, Y, Z, W, U ), T, W, U ) )
% 47.63/48.05 ] )
% 47.63/48.05 , clause( 181554, [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_List_Ofoldl'(
% 47.63/48.05 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ), T )
% 47.63/48.05 , 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP(
% 47.63/48.05 'c_Lambda_Osubst', X ), Z ), T ), 'c_List_Omap'( 'c_COMBC'( 'c_COMBC'(
% 47.63/48.05 'c_Lambda_Osubst', Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB', 'tc_fun'(
% 47.63/48.05 'tc_nat', 'tc_Lambda_OdB' ) ), T, 'tc_Lambda_OdB', 'tc_nat',
% 47.63/48.05 'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB'
% 47.63/48.05 , 'tc_Lambda_OdB' ) ) ] )
% 47.63/48.05 , clause( 181555, [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst',
% 47.63/48.05 'c_Lambda_OdB_OVar'( X ) ), Y ), X ), Y ) ] )
% 47.63/48.05 , clause( 181556, [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP(
% 47.63/48.05 'c_Lambda_Olift', X ), Y ) ), Z ), Y ), X ) ] )
% 47.63/48.05 , clause( 181557, [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_ea______',
% 47.63/48.05 'v_ia______', 'v_T____', 'tc_Type_Otype' ), 'c_List_Ofoldl'(
% 47.63/48.05 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'(
% 47.63/48.05 'v_r____' ) ), 'v_a____' ), 'v_as____', 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 47.63/48.05 ), 'v_T_Ha______' ) ] )
% 47.63/48.05 , clause( 181558, [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_i____'
% 47.63/48.05 , 'v_T____', 'tc_Type_Otype' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 47.63/48.05 hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( 'v_r____' ) ),
% 47.63/48.05 'v_a____' ), 'v_as____', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'v_T_H____'
% 47.63/48.05 ) ] )
% 47.63/48.05 , clause( 181559, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ),
% 47.63/48.05 'c_Lambda_Osko__Lambda__Xbeta__cases__3__3'( Y, X, Z ) ) ), =( Z, hAPP(
% 47.63/48.05 hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Osko__Lambda__Xbeta__cases__3__2'( Y
% 47.63/48.05 , X, Z ) ), X ) ), =( Z, hAPP( hAPP( hAPP( 'c_Lambda_Osubst',
% 47.63/48.05 'c_Lambda_Osko__Lambda__Xbeta__cases__3__1'( Y, X, Z ) ), X ),
% 47.63/48.05 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( hBOOL( hAPP( hAPP(
% 47.63/48.05 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), X ) ), Z ) ) ) ]
% 47.63/48.05 )
% 47.63/48.05 , clause( 181560, [ =( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ),
% 47.63/48.05 'c_Lambda_Osko__Lambda__Xbeta__cases__3__3'( Y, Z, X ) ) ), hBOOL( hAPP(
% 47.63/48.05 hAPP( 'c_Lambda_Obeta', Y ), 'c_Lambda_Osko__Lambda__Xbeta__cases__3__2'(
% 47.63/48.05 Y, Z, X ) ) ), =( X, hAPP( hAPP( hAPP( 'c_Lambda_Osubst',
% 47.63/48.05 'c_Lambda_Osko__Lambda__Xbeta__cases__3__1'( Y, Z, X ) ), Z ),
% 47.63/48.05 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( hBOOL( hAPP( hAPP(
% 47.63/48.05 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), Z ) ), X ) ) ) ]
% 47.63/48.05 )
% 47.63/48.05 , clause( 181561, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ),
% 47.63/48.05 'c_Lambda_Osko__Lambda__Xbeta__cases__3__3'( Y, X, Z ) ) ), hBOOL( hAPP(
% 47.63/48.05 hAPP( 'c_Lambda_Obeta', Y ), 'c_Lambda_Osko__Lambda__Xbeta__cases__3__2'(
% 47.63/48.05 Y, X, Z ) ) ), =( Z, hAPP( hAPP( hAPP( 'c_Lambda_Osubst',
% 47.63/48.05 'c_Lambda_Osko__Lambda__Xbeta__cases__3__1'( Y, X, Z ) ), X ),
% 47.63/48.05 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( hBOOL( hAPP( hAPP(
% 47.63/48.05 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), X ) ), Z ) ) ) ]
% 47.63/48.05 )
% 47.63/48.05 , clause( 181562, [ =( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ),
% 47.63/48.05 'c_Lambda_Osko__Lambda__Xbeta__cases__3__3'( Y, Z, X ) ) ), =( X, hAPP(
% 47.63/48.05 hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Osko__Lambda__Xbeta__cases__3__2'( Y
% 47.63/48.05 , Z, X ) ), Z ) ), =( X, hAPP( hAPP( hAPP( 'c_Lambda_Osubst',
% 47.63/48.05 'c_Lambda_Osko__Lambda__Xbeta__cases__3__1'( Y, Z, X ) ), Z ),
% 47.63/48.05 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( hBOOL( hAPP( hAPP(
% 47.63/48.05 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), Z ) ), X ) ) ) ]
% 47.63/48.05 )
% 47.63/48.05 , clause( 181563, [ =( X, 'c_Lambda_OdB_OAbs'(
% 47.63/48.05 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__3'( X, Y, Z ) ) ), =( Z,
% 47.63/48.05 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X,
% 47.63/48.05 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2'( X, Y, Z ),
% 47.63/48.05 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), =( Z, 'c_List_Ofoldl'(
% 47.63/48.05 'c_Lambda_OdB_OApp', 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1'( X
% 47.63/48.05 , Y, Z ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( hAPP(
% 47.63/48.05 'c_Lambda_Obeta', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y,
% 47.63/48.05 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ) ) ) ] )
% 47.63/48.05 , clause( 181564, [ =( X, 'c_Lambda_OdB_OAbs'(
% 47.63/48.05 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__3'( X, Y, Z ) ) ), =( Z,
% 47.63/48.05 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X,
% 47.63/48.05 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2'( X, Y, Z ),
% 47.63/48.05 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), hBOOL( hAPP( hAPP( 'c_Lambda_Obeta'
% 47.63/48.05 , X ), 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1'( X, Y, Z ) ) ),
% 47.63/48.05 ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 47.63/48.05 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ) ) )
% 47.63/48.05 ] )
% 47.63/48.05 , clause( 181565, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_a____' ) ) ] )
% 47.63/48.05 , clause( 181566, [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 47.63/48.05 'c_Lambda_OdB_OVar'( Y ),
% 47.63/48.05 'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1'( Y, Z, X ),
% 47.63/48.05 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( hAPP(
% 47.63/48.05 'c_Lambda_Obeta', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 47.63/48.05 'c_Lambda_OdB_OVar'( Y ), Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), X ) )
% 47.63/48.05 ) ] )
% 47.63/48.05 , clause( 181567, [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 47.63/48.05 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 47.63/48.05 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 47.63/48.05 ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 47.63/48.05 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 47.63/48.05 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 47.63/48.05 , clause( 181568, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 47.63/48.05 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 47.63/48.05 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 47.63/48.05 ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 47.63/48.05 , clause( 181569, [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 47.63/48.05 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 47.63/48.05 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 47.63/48.05 ), ~( =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'(
% 47.63/48.05 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ] )
% 47.63/48.05 , clause( 181570, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 47.63/48.05 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'(
% 47.63/48.05 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 47.63/48.05 , clause( 181571, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP(
% 47.63/48.05 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_List_Ofoldl'(
% 47.63/48.05 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ), Z, X, X
% 47.63/48.05 ) ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X, X ) ) ]
% 47.63/48.05 )
% 47.63/48.05 , clause( 181572, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 47.63/48.05 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 47.63/48.05 , Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Z ) ) ), ~( hBOOL( hAPP(
% 47.63/48.05 hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 47.63/48.05 'tc_Lambda_OdB' ), Y ), Z ) ) ) ] )
% 47.63/48.05 , clause( 181573, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 47.63/48.05 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 47.63/48.05 , Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Z ), Y ) ) ), ~( hBOOL( hAPP(
% 47.63/48.05 hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 47.63/48.05 'tc_Lambda_OdB' ), X ), Z ) ) ) ] )
% 47.63/48.05 , clause( 181574, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 47.63/48.05 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 47.63/48.05 , Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Z ), T ) ) ), ~( hBOOL( hAPP(
% 47.63/48.05 hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 47.63/48.05 'tc_Lambda_OdB' ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 47.63/48.05 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X
% 47.63/48.05 ), Z ) ) ) ] )
% 47.63/48.05 , clause( 181575, [ =( 'c_Lambda_Osubstn'( X, Y, 'c_HOL_Ozero__class_Ozero'(
% 47.63/48.05 'tc_nat' ) ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ),
% 47.63/48.05 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ] )
% 47.63/48.05 , clause( 181576, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ),
% 47.63/48.05 'c_Lambda_Osko__Lambda__Xbeta__cases__2__1'( X, Y ) ) ), ~( hBOOL( hAPP(
% 47.63/48.05 hAPP( 'c_Lambda_Obeta', 'c_Lambda_OdB_OAbs'( X ) ), Y ) ) ) ] )
% 47.63/48.05 , clause( 181577, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 47.63/48.05 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( X ) ),
% 47.63/48.05 'c_Lambda_OdB_OAbs'( Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 47.63/48.05 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X
% 47.63/48.05 ), Y ) ) ) ] )
% 47.63/48.05 , clause( 181578, [ =( X, 'c_Lambda_OdB_OAbs'(
% 47.63/48.05 'c_Lambda_Osko__Lambda__Xbeta__cases__2__1'( Y, X ) ) ), ~( hBOOL( hAPP(
% 47.63/48.05 hAPP( 'c_Lambda_Obeta', 'c_Lambda_OdB_OAbs'( Y ) ), X ) ) ) ] )
% 47.63/48.05 , clause( 181579, [ =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 47.63/48.05 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', X
% 47.63/48.05 ), Y ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB',
% 47.63/48.05 'tc_Lambda_OdB' ) ) ] )
% 47.63/48.05 , clause( 181580, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 47.63/48.05 'c_Lambda_OdB_OVar'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 47.63/48.05 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T,
% 47.63/48.05 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X, Z ) ] )
% 47.63/48.05 , clause( 181581, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 47.63/48.05 'c_Lambda_OdB_OVar'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 47.63/48.05 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T,
% 47.63/48.05 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Y, T ) ] )
% 47.63/48.05 , clause( 181582, [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 47.63/48.05 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, 'c_List_Olist_ONil'(
% 47.63/48.05 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( hAPP( hAPP(
% 47.63/48.05 'c_Lambda_OdB_OApp', X ), Y ), Z ) ] )
% 47.63/48.05 , clause( 181583, [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'(
% 47.63/48.05 'c_Lambda_OdB_OApp', Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =(
% 47.63/48.05 'c_Lambda_OdB_OVar'( X ), Y ) ] )
% 47.63/48.05 , clause( 181584, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 47.63/48.05 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 47.63/48.05 , X ), Y ), Z ) ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), T ), Z ) ) )
% 47.63/48.05 , ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 47.63/48.05 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), Y ), T ) ) ) ] )
% 47.63/48.05 , clause( 181585, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 47.63/48.05 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 47.63/48.05 , X ), Y ), Z ) ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', T ), Y ), Z ) ) )
% 47.63/48.05 , ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 47.63/48.05 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X ), T ) ) ) ] )
% 47.63/48.05 , clause( 181586, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 47.63/48.05 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 47.63/48.05 , X ), Y ), Z ) ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), T ), Z ) ) )
% 47.63/48.05 , ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', Y ), T ) ) ) ] )
% 47.63/48.05 , clause( 181587, [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP(
% 47.63/48.05 'c_Lambda_Osubst', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP(
% 47.63/48.05 'c_Lambda_Osubst', 'v_r____' ), 'v_a____' ), 'c_HOL_Ozero__class_Ozero'(
% 47.63/48.05 'tc_nat' ) ), 'v_as____', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), X ), Y )
% 47.63/48.05 ) ), ~( 'c_Type_Otyping'( Z, X, 'v_T____' ) ), ~( hBOOL( hAPP(
% 47.63/48.05 'c_InductTermi_OIT', X ) ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( Z, Y
% 47.63/48.05 , 'v_T____', 'tc_Type_Otype' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 47.63/48.05 hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'v_r____' ), 'v_a____' ),
% 47.63/48.05 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'v_as____', 'tc_Lambda_OdB',
% 47.63/48.05 'tc_Lambda_OdB' ), T ) ) ] )
% 47.63/48.05 , clause( 181588, [ ~( hBOOL( hAPP( 'c_Wellfounded_Oaccp'(
% 47.63/48.05 'c_Predicate_Oconversep'( 'c_Lambda_Obeta', 'tc_Lambda_OdB',
% 47.63/48.05 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 47.63/48.05 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ),
% 47.63/48.05 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_Lambda_OdB',
% 47.63/48.05 'tc_Lambda_OdB' ) ) ) ), ~( hBOOL( hAPP( 'c_Wellfounded_Oaccp'(
% 47.63/48.05 'c_Predicate_Oconversep'( 'c_Lambda_Obeta', 'tc_Lambda_OdB',
% 47.63/48.05 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), Y ) ) ), hBOOL( hAPP(
% 47.63/48.05 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'( 'c_Lambda_Obeta',
% 47.63/48.05 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 47.63/48.05 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'(
% 47.63/48.05 X ) ), Y ), Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ] )
% 47.63/48.05 , clause( 181589, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 47.63/48.05 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 47.63/48.05 , X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), 'c_List_Ofoldl'(
% 47.63/48.05 'c_Lambda_OdB_OApp', Z, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), ~(
% 47.63/48.05 hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 47.63/48.05 'tc_Lambda_OdB' ), X ), Z ) ) ) ] )
% 47.63/48.05 , clause( 181590, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 47.63/48.05 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ),
% 47.63/48.05 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Z, 'tc_Lambda_OdB',
% 47.63/48.05 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'(
% 47.63/48.05 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), Y ), Z ) ) ) ] )
% 47.63/48.05 , clause( 181591, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'(
% 47.63/48.05 'c_Lambda_OdB_OApp', Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Z,
% 47.63/48.05 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ] )
% 47.63/48.05 , clause( 181592, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 47.63/48.05 'c_Lambda_OdB_OVar'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 47.63/48.05 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T,
% 47.63/48.05 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ] )
% 47.63/48.05 , clause( 181593, [ =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'(
% 47.63/48.05 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ), 'c_List_Olist_ONil'(
% 47.63/48.05 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ] )
% 47.63/48.05 , clause( 181594, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y,
% 47.63/48.05 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( Y,
% 47.63/48.05 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ] )
% 47.63/48.05 , clause( 181595, [ =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 47.63/48.05 'c_Lambda_OdB_OAbs'( X ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 47.63/48.05 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( X ) ) ] )
% 47.63/48.05 , clause( 181596, [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 47.63/48.05 'c_Lambda_OdB_OAbs'( X ) ), Y ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 47.63/48.05 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ] )
% 47.63/48.05 , clause( 181597, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'(
% 47.63/48.05 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'(
% 47.63/48.05 X ) ), Y ), Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP(
% 47.63/48.05 'c_InductTermi_OIT', Y ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT',
% 47.63/48.05 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 47.63/48.05 , X ), Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_Lambda_OdB'
% 47.63/48.05 , 'tc_Lambda_OdB' ) ) ) ) ] )
% 47.63/48.05 , clause( 181598, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'(
% 47.63/48.05 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'v_r____' ),
% 47.63/48.05 'v_a____' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'v_as____',
% 47.63/48.05 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ] )
% 47.63/48.05 , clause( 181599, [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP(
% 47.63/48.05 'c_Lambda_OdB_OApp', X ), Y ) ), Z ), T ), hAPP( hAPP(
% 47.63/48.05 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Z ), T ) )
% 47.63/48.05 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', Y ), Z ), T ) ) ) ] )
% 47.63/48.05 , clause( 181600, [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 47.63/48.05 'c_Lambda_OdB_OAbs'( Z ) ) ) ] )
% 47.63/48.05 , clause( 181601, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), hAPP( hAPP(
% 47.63/48.05 'c_Lambda_OdB_OApp', Y ), Z ) ) ) ] )
% 47.63/48.05 , clause( 181602, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y,
% 47.63/48.05 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( X,
% 47.63/48.05 'c_Lambda_OdB_OAbs'( Z ) ) ] )
% 47.63/48.05 , clause( 181603, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 47.63/48.05 'c_Lambda_OdB_OAbs'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 47.63/48.05 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T,
% 47.63/48.05 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X, Z ) ] )
% 47.63/48.05 , clause( 181604, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 47.63/48.05 'c_Lambda_OdB_OAbs'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 47.63/48.05 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T,
% 47.63/48.05 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Y, T ) ] )
% 47.63/48.05 , clause( 181605, [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP(
% 47.63/48.05 hAPP( 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( X, Z ) ] )
% 47.63/48.05 , clause( 181606, [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP(
% 47.63/48.05 hAPP( 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( Y, T ) ] )
% 47.63/48.05 , clause( 181607, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP(
% 47.63/48.05 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y ) ), hAPP( hAPP( hAPP(
% 47.63/48.05 'c_Lambda_Osubst', X ), Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) )
% 47.63/48.05 ] )
% 47.63/48.05 , clause( 181608, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 47.63/48.05 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ),
% 47.63/48.05 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, Y, 'tc_Lambda_OdB',
% 47.63/48.05 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ), Z ) )
% 47.63/48.05 ) ] )
% 47.63/48.05 , clause( 181609, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y
% 47.63/48.05 ) ) ), =( X, Y ) ] )
% 47.63/48.05 , clause( 181610, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( hAPP(
% 47.63/48.05 'c_Lambda_Osubst', X ), Y ), Z ) ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst',
% 47.63/48.05 T ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ), T ) ) ) ]
% 47.63/48.05 )
% 47.63/48.05 , clause( 181611, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'(
% 47.63/48.05 'c_Lambda_OdB_OApp', Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =(
% 47.63/48.05 'c_Lambda_OdB_OAbs'( X ), Y ) ] )
% 47.63/48.05 , clause( 181612, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y,
% 47.63/48.05 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 47.63/48.05 , Z, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X, Z ) ] )
% 47.63/48.05 , clause( 181613, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP(
% 47.63/48.05 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Z
% 47.63/48.05 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', Y ), Z ) ) ) ] )
% 47.63/48.05 , clause( 181614, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP(
% 47.63/48.05 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Z ), Y
% 47.63/48.05 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ), Z ) ) ) ] )
% 47.63/48.05 , clause( 181615, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta',
% 47.63/48.05 'c_Lambda_OdB_OAbs'( X ) ), 'c_Lambda_OdB_OAbs'( Y ) ) ), ~( hBOOL( hAPP(
% 47.63/48.05 hAPP( 'c_Lambda_Obeta', X ), Y ) ) ) ] )
% 47.63/48.05 , clause( 181616, [ ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 47.63/48.05 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'(
% 47.63/48.05 'v_r____' ) ), 'v_a____' ), 'v_as____', 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 47.63/48.05 ) ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP(
% 47.63/48.05 'c_Lambda_Osubst', 'v_r____' ), 'v_a____' ), 'c_HOL_Ozero__class_Ozero'(
% 47.63/48.05 'tc_nat' ) ), 'v_as____', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ) ] )
% 47.63/48.05 , clause( 181617, [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 47.63/48.05 'class_Orderings_Opreorder'( Y ) ) ] )
% 47.63/48.05 , clause( 181618, [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 47.63/48.05 'class_Orderings_Oorder'( Y ) ) ] )
% 47.63/48.05 , clause( 181619, [
% 47.63/48.05 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' ) ]
% 47.63/48.05 )
% 47.63/48.05 , clause( 181620, [
% 47.63/48.05 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat' ) ]
% 47.63/48.05 )
% 47.63/48.05 , clause( 181621, [ 'class_OrderedGroup_Opordered__comm__monoid__add'(
% 47.63/48.05 'tc_nat' ) ] )
% 47.63/48.05 , clause( 181622, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 47.63/48.05 'tc_nat' ) ] )
% 47.63/48.05 , clause( 181623, [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat'
% 47.63/48.05 ) ] )
% 47.63/48.05 , clause( 181624, [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat'
% 47.63/48.05 ) ] )
% 47.63/48.05 , clause( 181625, [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' )
% 47.63/48.05 ] )
% 47.63/48.05 , clause( 181626, [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' )
% 47.63/48.05 ] )
% 47.63/48.05 , clause( 181627, [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ]
% 47.63/48.05 )
% 47.63/48.05 , clause( 181628, [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ]
% 47.63/48.05 )
% 47.63/48.05 , clause( 181629, [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ]
% 47.63/48.05 )
% 47.63/48.05 , clause( 181630, [ 'class_OrderedGroup_Osemigroup__add'( 'tc_nat' ) ] )
% 47.63/48.05 , clause( 181631, [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ] )
% 47.63/48.05 , clause( 181632, [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ] )
% 47.63/48.05 , clause( 181633, [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ] )
% 47.63/48.05 , clause( 181634, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ] )
% 47.63/48.05 , clause( 181635, [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ] )
% 47.63/48.05 , clause( 181636, [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ] )
% 47.63/48.05 , clause( 181637, [ 'class_Orderings_Opreorder'( 'tc_nat' ) ] )
% 47.63/48.05 , clause( 181638, [ 'class_Orderings_Olinorder'( 'tc_nat' ) ] )
% 47.63/48.05 , clause( 181639, [ 'class_Orderings_Oorder'( 'tc_nat' ) ] )
% 47.63/48.05 , clause( 181640, [ 'class_Power_Opower'( 'tc_nat' ) ] )
% 47.63/48.05 , clause( 181641, [ 'class_Orderings_Opreorder'( 'tc_bool' ) ] )
% 47.63/48.05 , clause( 181642, [ 'class_Orderings_Oorder'( 'tc_bool' ) ] )
% 47.63/48.05 , clause( 181643, [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ] )
% 47.63/48.05 , clause( 181644, [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ),
% 47.63/48.05 Y ) ) ) ] )
% 47.63/48.05 ] ).
% 47.63/48.05
% 47.63/48.05
% 47.63/48.05
% 47.63/48.05 eqswap(
% 47.63/48.05 clause( 182152, [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ),
% 47.63/48.05 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_Lambda_Osubstn'( X, Y,
% 47.63/48.05 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ] )
% 47.63/48.05 , clause( 181575, [ =( 'c_Lambda_Osubstn'( X, Y, 'c_HOL_Ozero__class_Ozero'(
% 47.63/48.05 'tc_nat' ) ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ),
% 47.63/48.05 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ] )
% 47.63/48.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 47.63/48.05
% 47.63/48.05
% 47.63/48.05 subsumption(
% 47.63/48.05 clause( 335, [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ),
% 47.63/48.05 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_Lambda_Osubstn'( X, Y,
% 47.63/48.05 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ] )
% 47.63/48.05 , clause( 182152, [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ),
% 47.63/48.05 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_Lambda_Osubstn'( X, Y,
% 47.63/48.05 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ] )
% 47.63/48.05 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 47.63/48.05 )] ) ).
% 47.63/48.05
% 47.63/48.05
% 47.63/48.05 paramod(
% 47.63/48.05 clause( 183334, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP(
% 47.63/48.05 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y ) ),
% 47.63/48.05 'c_Lambda_Osubstn'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ]
% 47.63/48.05 )
% 47.63/48.05 , clause( 335, [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ),
% 47.63/48.05 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_Lambda_Osubstn'( X, Y,
% 47.63/48.05 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ] )
% 47.63/48.05 , 0, clause( 181607, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP(
% 47.63/48.05 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y ) ), hAPP( hAPP( hAPP(
% 47.63/48.05 'c_Lambda_Osubst', X ), Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) )
% 47.63/48.06 ] )
% 47.63/48.06 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 47.63/48.06 :=( X, X ), :=( Y, Y )] )).
% 47.63/48.06
% 47.63/48.06
% 47.63/48.06 subsumption(
% 47.63/48.06 clause( 361, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP(
% 47.63/48.06 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y ) ),
% 47.63/48.06 'c_Lambda_Osubstn'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ]
% 47.63/48.06 )
% 47.63/48.06 , clause( 183334, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP(
% 47.63/48.06 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y ) ),
% 47.63/48.06 'c_Lambda_Osubstn'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ]
% 47.63/48.06 )
% 47.63/48.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 47.63/48.06 )] ) ).
% 47.63/48.06
% 47.63/48.06
% 47.63/48.06 subsumption(
% 47.63/48.06 clause( 362, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 47.63/48.06 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ),
% 47.63/48.06 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, Y, 'tc_Lambda_OdB',
% 47.63/48.06 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ), Z ) )
% 47.63/48.06 ) ] )
% 47.63/48.06 , clause( 181608, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 47.63/48.06 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ),
% 47.63/48.06 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, Y, 'tc_Lambda_OdB',
% 47.63/48.06 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ), Z ) )
% 47.63/48.06 ) ] )
% 47.63/48.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 47.63/48.06 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 47.63/48.06
% 47.63/48.06
% 47.63/48.06 paramod(
% 47.63/48.06 clause( 185069, [ ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 47.63/48.06 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'(
% 47.63/48.06 'v_r____' ) ), 'v_a____' ), 'v_as____', 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 47.63/48.06 ) ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_Osubstn'( 'v_r____'
% 47.63/48.06 , 'v_a____', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'v_as____',
% 47.63/48.06 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ) ] )
% 47.63/48.06 , clause( 335, [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ),
% 47.63/48.06 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_Lambda_Osubstn'( X, Y,
% 47.63/48.06 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ] )
% 47.63/48.06 , 0, clause( 181616, [ ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta',
% 47.63/48.06 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 47.63/48.06 'c_Lambda_OdB_OAbs'( 'v_r____' ) ), 'v_a____' ), 'v_as____',
% 47.63/48.06 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), 'c_List_Ofoldl'(
% 47.63/48.06 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'v_r____' ),
% 47.63/48.06 'v_a____' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'v_as____',
% 47.63/48.06 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ) ] )
% 47.63/48.06 , 0, 18, substitution( 0, [ :=( X, 'v_r____' ), :=( Y, 'v_a____' )] ),
% 47.63/48.06 substitution( 1, [] )).
% 47.63/48.06
% 47.63/48.06
% 47.63/48.06 subsumption(
% 47.63/48.06 clause( 369, [ ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 47.63/48.06 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'(
% 47.63/48.06 'v_r____' ) ), 'v_a____' ), 'v_as____', 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 47.63/48.06 ) ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_Osubstn'( 'v_r____'
% 47.63/48.06 , 'v_a____', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'v_as____',
% 47.63/48.06 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ) ] )
% 47.63/48.06 , clause( 185069, [ ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 47.63/48.06 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'(
% 47.63/48.06 'v_r____' ) ), 'v_a____' ), 'v_as____', 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 47.63/48.06 ) ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_Osubstn'( 'v_r____'
% 47.63/48.06 , 'v_a____', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'v_as____',
% 47.63/48.06 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ) ] )
% 47.63/48.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 47.63/48.06
% 47.63/48.06
% 47.63/48.06 resolution(
% 47.63/48.06 clause( 185070, [ ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP(
% 47.63/48.06 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( 'v_r____' ) ), 'v_a____' ) ),
% 47.63/48.06 'c_Lambda_Osubstn'( 'v_r____', 'v_a____', 'c_HOL_Ozero__class_Ozero'(
% 47.63/48.06 'tc_nat' ) ) ) ) ) ] )
% 47.63/48.06 , clause( 369, [ ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 47.63/48.06 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'(
% 47.63/48.06 'v_r____' ) ), 'v_a____' ), 'v_as____', 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 47.63/48.06 ) ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_Osubstn'( 'v_r____'
% 47.63/48.06 , 'v_a____', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'v_as____',
% 47.63/48.07 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ) ] )
% 47.63/48.07 , 0, clause( 362, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 47.63/48.07 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ),
% 47.63/48.07 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, Y, 'tc_Lambda_OdB',
% 47.63/48.07 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ), Z ) )
% 47.63/48.07 ) ] )
% 47.63/48.07 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, hAPP( hAPP(
% 47.63/48.07 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( 'v_r____' ) ), 'v_a____' ) ),
% 47.63/48.07 :=( Y, 'v_as____' ), :=( Z, 'c_Lambda_Osubstn'( 'v_r____', 'v_a____',
% 47.63/48.07 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) )] )).
% 47.63/48.07
% 47.63/48.07
% 47.63/48.07 resolution(
% 47.63/48.07 clause( 185071, [] )
% 47.63/48.07 , clause( 185070, [ ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP(
% 47.63/48.07 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( 'v_r____' ) ), 'v_a____' ) ),
% 47.63/48.07 'c_Lambda_Osubstn'( 'v_r____', 'v_a____', 'c_HOL_Ozero__class_Ozero'(
% 47.63/48.07 'tc_nat' ) ) ) ) ) ] )
% 47.63/48.07 , 0, clause( 361, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP(
% 47.63/48.07 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y ) ),
% 47.63/48.07 'c_Lambda_Osubstn'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ]
% 47.63/48.07 )
% 47.63/48.07 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_r____' ), :=( Y,
% 47.63/48.07 'v_a____' )] )).
% 47.63/48.07
% 47.63/48.07
% 47.63/48.07 subsumption(
% 47.63/48.07 clause( 181171, [] )
% 47.63/48.07 , clause( 185071, [] )
% 47.63/48.07 , substitution( 0, [] ), permutation( 0, [] ) ).
% 47.63/48.07
% 47.63/48.07
% 47.63/48.07 end.
% 47.63/48.07
% 47.63/48.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 47.63/48.07
% 47.63/48.07 Memory use:
% 47.63/48.07
% 47.63/48.07 space for terms: 5705467
% 47.63/48.07 space for clauses: 8673779
% 47.63/48.07
% 47.63/48.07
% 47.63/48.07 clauses generated: 1081456
% 47.63/48.07 clauses kept: 181172
% 47.63/48.07 clauses selected: 1491
% 47.63/48.07 clauses deleted: 10858
% 47.63/48.07 clauses inuse deleted: 196
% 47.63/48.07
% 47.63/48.07 subsentry: 5669334
% 47.63/48.07 literals s-matched: 3701138
% 47.63/48.07 literals matched: 3320376
% 47.63/48.07 full subsumption: 2333736
% 47.63/48.07
% 47.63/48.07 checksum: 1373877659
% 47.63/48.07
% 47.63/48.07
% 47.63/48.07 Bliksem ended
%------------------------------------------------------------------------------